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	5474f	Isogeny class
Conductor	5474	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	575561496608 = 25 · 76 · 172 · 232	Discriminant
Eigenvalues	2-  0  0 7-  4 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2965,51021]	[a1,a2,a3,a4,a6]
Generators	[-21:332:1]	Generators of the group modulo torsion
j	2881777717022625/575561496608	j-invariant
L	5.7223122168287	L(r)(E,1)/r!
Ω	0.87146321489373	Real period
R	0.21887755822742	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	43792f2 49266x2 38318r2 93058j2	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 5474f2

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
-	0	0	-	4	-4	+	-4	+	4	-8	2	-10	6	-4	0	-6	0	6	-16	-6	-8	0	6	-2

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Quadratic twists for elliptic curve 5474f2

-4	-3	-7	17	-23
43792f2	49266x2	38318r2	93058j2	125902o2

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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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