Cremona's table of elliptic curves

4510 = 2 · 5 · 11 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 41-	Signs for the Atkin-Lehner involutions
Class	4510b	Isogeny class
Conductor	4510	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-451000 = -1 · 23 · 53 · 11 · 41	Discriminant
Eigenvalues	2+ -2 5+ -4 11- -1  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-52509,-4635568]	[a1,a2,a3,a4,a6]
Generators	[7662:225785:8]	Generators of the group modulo torsion
j	-16010801205512777929/451000	j-invariant
L	1.3215213115435	L(r)(E,1)/r!
Ω	0.15769289016817	Real period
R	8.3803480939071	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	36080k2 40590bn2 22550bc2 49610r2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4510b2

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	+	-4	-	-1	0	-4	0	6	-1	-7	-	8	3	-6	12	-1	2	6	-7	17	6	6	-1

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Quadratic twists for elliptic curve 4510b2

-4	-3	5	-11
36080k2	40590bn2	22550bc2	49610r2

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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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