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	46240bc	Isogeny class
Conductor	46240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	221184	Modular degree for the optimal curve
Δ	2232242381120 = 26 · 5 · 178	Discriminant
Eigenvalues	2-  2 5-  2  0  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-556710,160064780]	[a1,a2,a3,a4,a6]
Generators	[12593896576974:-787656902201:29161230552]	Generators of the group modulo torsion
j	12352022024896/1445	j-invariant
L	10.407843153433	L(r)(E,1)/r!
Ω	0.63614935524663	Real period
R	16.360691192401	Regulator
r	1	Rank of the group of rational points
S	0.99999999999979	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46240n1 92480v2 2720f1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 46240bc1

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

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Quadratic twists for elliptic curve 46240bc1

-4	8	17
46240n1	92480v2	2720f1

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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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