Cremona's table of elliptic curves

46128 = 2⁴ · 3 · 31²

Field	Data	Notes
Atkin-Lehner	2- 3+ 31-	Signs for the Atkin-Lehner involutions
Class	46128s	Isogeny class
Conductor	46128	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-3961816431984 = -1 · 24 · 32 · 317	Discriminant
Eigenvalues	2- 3+ -1  1  0  6  8 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6086,208359]	[a1,a2,a3,a4,a6]
Generators	[106:2883:8]	Generators of the group modulo torsion
j	-1755904/279	j-invariant
L	5.2445510173427	L(r)(E,1)/r!
Ω	0.75517188009014	Real period
R	0.86810551935576	Regulator
r	1	Rank of the group of rational points
S	0.99999999999898	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11532e1 1488m1	Quadratic twists by: -4 -31

Hecke Eigenvalues for elliptic curve 46128s1

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
-	+	-1	1	0	6	8	-7	-6	8	-	-8	9	0	8	-4	-3	0	-12	5	4	14	2	6	-7

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Quadratic twists for elliptic curve 46128s1

-4	-31
11532e1	1488m1

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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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