Cremona's table of elliptic curves

7480 = 2³ · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 17-	Signs for the Atkin-Lehner involutions
Class	7480a	Isogeny class
Conductor	7480	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	-18414395648000 = -1 · 211 · 53 · 114 · 173	Discriminant
Eigenvalues	2+  3 5+ -2 11+ -3 17-  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-163,206462]	[a1,a2,a3,a4,a6]
j	-233860338/8991404125	j-invariant
L	3.2987012968238	L(r)(E,1)/r!
Ω	0.54978354947064	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	14960a1 59840u1 67320bm1 37400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7480a1

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	+	-2	+	-3	-	7	-2	1	-7	8	-2	6	7	11	-1	7	10	-3	1	8	16	-9	-1

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Quadratic twists for elliptic curve 7480a1

-4	8	-3	5	-11	17
14960a1	59840u1	67320bm1	37400m1	82280k1	127160h1

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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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