Cremona's table of elliptic curves

124992 = 2⁶ · 3² · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	124992gv	Isogeny class
Conductor	124992	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	368640	Modular degree for the optimal curve
Δ	-56895942426624 = -1 · 220 · 36 · 74 · 31	Discriminant
Eigenvalues	2- 3-  2 7-  6 -4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18444,1030160]	[a1,a2,a3,a4,a6]
Generators	[-32:1260:1]	Generators of the group modulo torsion
j	-3630961153/297724	j-invariant
L	8.9789457583308	L(r)(E,1)/r!
Ω	0.61436939124126	Real period
R	1.8268621988987	Regulator
r	1	Rank of the group of rational points
S	1.00000000247	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	124992bj1 31248ck1 13888v1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 124992gv1

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
-	-	2	-	6	-4	-2	-4	-4	0	-	-8	2	6	8	0	0	8	4	-8	6	0	-6	-6	-2

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Quadratic twists for elliptic curve 124992gv1

-4	8	-3
124992bj1	31248ck1	13888v1

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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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