Cremona's table of elliptic curves

17520 = 2⁴ · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 73+	Signs for the Atkin-Lehner involutions
Class	17520b	Isogeny class
Conductor	17520	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4224	Modular degree for the optimal curve
Δ	-56064000 = -1 · 211 · 3 · 53 · 73	Discriminant
Eigenvalues	2+ 3+ 5+  3 -4  0  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-96,-480]	[a1,a2,a3,a4,a6]
Generators	[26:118:1]	Generators of the group modulo torsion
j	-48275138/27375	j-invariant
L	4.1059480235927	L(r)(E,1)/r!
Ω	0.74247022702006	Real period
R	2.7650590381732	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8760f1 70080cm1 52560e1 87600x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 17520b1

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
+	+	+	3	-4	0	0	-2	7	2	0	-11	2	-6	12	-1	-12	4	-3	6	+	5	-1	-2	2

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Quadratic twists for elliptic curve 17520b1

-4	8	-3	5
8760f1	70080cm1	52560e1	87600x1

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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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