Cremona's table of elliptic curves

3451 = 7 · 17 · 29

Field	Data	Notes
Atkin-Lehner	7+ 17- 29+	Signs for the Atkin-Lehner involutions
Class	3451c	Isogeny class
Conductor	3451	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5328	Modular degree for the optimal curve
Δ	-2417608403 = -1 · 73 · 172 · 293	Discriminant
Eigenvalues	2 -3 -2 7+  6 -2 17- -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-61,-2373]	[a1,a2,a3,a4,a6]
j	-25102282752/2417608403	j-invariant
L	1.2837581766556	L(r)(E,1)/r!
Ω	0.64187908832778	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55216v1 31059j1 86275f1 24157c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3451c1

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	-3	-2	+	6	-2	-	-7	-5	+	4	-2	3	4	-3	9	-6	14	7	5	9	6	-4	7	-7

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Quadratic twists for elliptic curve 3451c1

-4	-3	5	-7	17	29
55216v1	31059j1	86275f1	24157c1	58667i1	100079c1

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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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