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	8	Product of Tamagawa factors cp
Δ	48112242655232 = 217 · 74 · 172 · 232	Discriminant
Eigenvalues	2+ -2 -2 7+  0 -2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-698652,-224828326]	[a1,a2,a3,a4,a6]
Generators	[1392:38038:1]	Generators of the group modulo torsion
j	37714255457181285391417/48112242655232	j-invariant
L	1.3784223288663	L(r)(E,1)/r!
Ω	0.1651332147757	Real period
R	4.1736676983446	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	43792k2 49266bs2 38318i2 93058g2	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 5474b2

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 5474b2

-4	-3	-7	17	-23
43792k2	49266bs2	38318i2	93058g2	125902j2

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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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