Cremona's table of elliptic curves

46240 = 2⁵ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17-	Signs for the Atkin-Lehner involutions
Class	46240bj	Isogeny class
Conductor	46240	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	38016	Modular degree for the optimal curve
Δ	42762752000 = 212 · 53 · 174	Discriminant
Eigenvalues	2-  0 5- -4  1 -4 17-  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2312,41616]	[a1,a2,a3,a4,a6]
Generators	[17:-85:1] [0:204:1]	Generators of the group modulo torsion
j	3995136/125	j-invariant
L	8.7239702267811	L(r)(E,1)/r!
Ω	1.1361425685072	Real period
R	0.42658819943329	Regulator
r	2	Rank of the group of rational points
S	0.99999999999993	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46240t1 92480bl1 46240u1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 46240bj1

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
-	0	-	-4	1	-4	-	1	-6	5	-8	-8	-11	-4	6	0	7	1	-14	-3	0	-1	0	-7	-16

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Quadratic twists for elliptic curve 46240bj1

-4	8	17
46240t1	92480bl1	46240u1

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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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