Cremona's table of elliptic curves

62400 = 2⁶ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	62400ff	Isogeny class
Conductor	62400	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	4.228748057664E+21	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11752033,15191643937]	[a1,a2,a3,a4,a6]
Generators	[2272:14625:1]	Generators of the group modulo torsion
j	350584567631475848/8259273550125	j-invariant
L	2.9346280783024	L(r)(E,1)/r!
Ω	0.13825594438323	Real period
R	1.3266283464651	Regulator
r	1	Rank of the group of rational points
S	1.0000000000426	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	62400hk3 31200p3 12480co4	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 62400ff3

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	0	-	-2	-8	-4	-6	-8	6	-6	-4	-4	6	-8	10	4	8	14	0	12	-6	6

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Quadratic twists for elliptic curve 62400ff3

-4	8	5
62400hk3	31200p3	12480co4

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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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