Cremona's table of elliptic curves

5474 = 2 · 7 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7+ 17+ 23+	Signs for the Atkin-Lehner involutions
Class	5474b	Isogeny class
Conductor	5474	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	23936	Modular degree for the optimal curve
Δ	-329149113696256 = -1 · 234 · 72 · 17 · 23	Discriminant
Eigenvalues	2+ -2 -2 7+  0 -2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-43292,-3578790]	[a1,a2,a3,a4,a6]
Generators	[9390:126065:27]	Generators of the group modulo torsion
j	-8972887872541465657/329149113696256	j-invariant
L	1.3784223288663	L(r)(E,1)/r!
Ω	0.1651332147757	Real period
R	8.3473353966893	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	43792k1 49266bs1 38318i1 93058g1	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 5474b1

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	+	-2	+	0	4	6	-2	2	8	0	4	-2	-10	-12	-6	-8	10	18	14

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Quadratic twists for elliptic curve 5474b1

-4	-3	-7	17	-23
43792k1	49266bs1	38318i1	93058g1	125902j1

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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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