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	46240v	Isogeny class
Conductor	46240	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-37948120479040000 = -1 · 29 · 54 · 179	Discriminant
Eigenvalues	2-  2 5+ -4  6  6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,11464,-9364360]	[a1,a2,a3,a4,a6]
j	2744/625	j-invariant
L	2.7469789716484	L(r)(E,1)/r!
Ω	0.17168618573319	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46240b2 92480cf2 46240bg2	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 46240v2

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	+	-4	6	6	+	-4	0	-6	-4	-10	12	4	8	-2	-4	-2	-12	0	4	16	-12	-10	16

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Quadratic twists for elliptic curve 46240v2

-4	8	17
46240b2	92480cf2	46240bg2

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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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