Cremona's table of elliptic curves

93600 = 2⁵ · 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	93600da	Isogeny class
Conductor	93600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	460800	Modular degree for the optimal curve
Δ	-474552000000000 = -1 · 212 · 33 · 59 · 133	Discriminant
Eigenvalues	2- 3+ 5- -3 -3 13+ -5  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-183000,30150000]	[a1,a2,a3,a4,a6]
Generators	[300:1500:1]	Generators of the group modulo torsion
j	-3137785344/2197	j-invariant
L	4.7082077876595	L(r)(E,1)/r!
Ω	0.52063550951542	Real period
R	1.1303992190024	Regulator
r	1	Rank of the group of rational points
S	1.0000000001976	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	93600cy1 93600k1 93600o1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 93600da1

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
-	+	-	-3	-3	+	-5	6	3	2	-6	3	-5	0	0	7	0	1	0	-15	-2	15	6	-11	1

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Quadratic twists for elliptic curve 93600da1

-4	-3	5
93600cy1	93600k1	93600o1

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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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