Cremona's table of elliptic curves

39600 = 2⁴ · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	39600dk	Isogeny class
Conductor	39600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2.43577125E+27	Discriminant
Eigenvalues	2- 3- 5+  4 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6598461675,-206292478315750]	[a1,a2,a3,a4,a6]
Generators	[-132897752784482252175553690560129:256515251366508989353460211068414:2845769561178091294512465441]	Generators of the group modulo torsion
j	680995599504466943307169/52207031250000000	j-invariant
L	6.7800829543805	L(r)(E,1)/r!
Ω	0.016751005367319	Real period
R	50.594597202572	Regulator
r	1	Rank of the group of rational points
S	0.99999999999991	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4950bm3 13200bt3 7920bi3	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 39600dk4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	4	+	-2	2	-4	4	-6	0	10	6	-12	4	-6	-4	10	-12	-4	-10	-4	-4	-10	-18

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Quadratic twists for elliptic curve 39600dk4

-4	-3	5
4950bm3	13200bt3	7920bi3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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