Cremona's table of elliptic curves

4785 = 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5- 11+ 29-	Signs for the Atkin-Lehner involutions
Class	4785a	Isogeny class
Conductor	4785	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	481393130625 = 32 · 54 · 112 · 294	Discriminant
Eigenvalues	-1 3+ 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-14460,662412]	[a1,a2,a3,a4,a6]
Generators	[-98:1121:1]	Generators of the group modulo torsion
j	334372435208533441/481393130625	j-invariant
L	2.0791178087652	L(r)(E,1)/r!
Ω	0.93204654599377	Real period
R	2.2307016937103	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	76560cj2 14355d2 23925s2 52635d2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4785a2

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
-1	+	-	0	+	-2	2	-4	0	-	8	6	-6	4	-8	-10	4	6	-12	0	2	-8	4	2	-14

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Quadratic twists for elliptic curve 4785a2

-4	-3	5	-11
76560cj2	14355d2	23925s2	52635d2

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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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