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	46240w	Isogeny class
Conductor	46240	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1938816	Modular degree for the optimal curve
Δ	1.3951514882E+21	Discriminant
Eigenvalues	2- -2 5+  0 -3 -2 17-  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3550461,-1845376661]	[a1,a2,a3,a4,a6]
Generators	[6165:458932:1]	Generators of the group modulo torsion
j	173231455744/48828125	j-invariant
L	2.7386382360771	L(r)(E,1)/r!
Ω	0.11233367731112	Real period
R	4.0632490357227	Regulator
r	1	Rank of the group of rational points
S	0.99999999999837	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46240c1 92480cl1 46240bb1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 46240w1

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	+	0	-3	-2	-	5	-8	5	0	-2	9	-8	-4	-6	-13	9	8	5	14	-1	6	1	-12

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Quadratic twists for elliptic curve 46240w1

-4	8	17
46240c1	92480cl1	46240bb1

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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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