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	46240m	Isogeny class
Conductor	46240	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	114048	Modular degree for the optimal curve
Δ	57800000000000 = 212 · 511 · 172	Discriminant
Eigenvalues	2+ -2 5-  0 -3 -2 17+ -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12285,371275]	[a1,a2,a3,a4,a6]
Generators	[105:500:1] [-7:676:1]	Generators of the group modulo torsion
j	173231455744/48828125	j-invariant
L	6.9764247593989	L(r)(E,1)/r!
Ω	0.58320034745794	Real period
R	0.54374147360944	Regulator
r	2	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46240bb1 92480m1 46240c1	Quadratic twists by: -4 8 17

Hecke Eigenvalues for elliptic curve 46240m1

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 46240m1

-4	8	17
46240bb1	92480m1	46240c1

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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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