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	7480b	Isogeny class
Conductor	7480	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	63717632000 = 211 · 53 · 114 · 17	Discriminant
Eigenvalues	2+  0 5-  0 11+  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-90707,-10514994]	[a1,a2,a3,a4,a6]
j	40301032281655122/31112125	j-invariant
L	1.6505953766019	L(r)(E,1)/r!
Ω	0.27509922943365	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14960b4 59840e4 67320bg4 37400n4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7480b3

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	+	2	+	0	-8	-10	0	6	6	4	12	-6	12	14	4	8	-10	4	12	10	-18

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Quadratic twists for elliptic curve 7480b3

-4	8	-3	5	-11	17
14960b4	59840e4	67320bg4	37400n4	82280p4	127160a4

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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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