Cremona's table of elliptic curves

4680 = 2³ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	4680f	Isogeny class
Conductor	4680	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2.61896250564E+19	Discriminant
Eigenvalues	2+ 3- 5+  0  4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1399323,-587626522]	[a1,a2,a3,a4,a6]
Generators	[3392253574:241070318125:636056]	Generators of the group modulo torsion
j	405929061432816484/35083409765625	j-invariant
L	3.6590615994393	L(r)(E,1)/r!
Ω	0.13957466975049	Real period
R	13.107899900391	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9360l3 37440cc3 1560j3 23400bh3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680f4

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	4	-	-2	-4	-8	-6	8	6	-2	-12	8	2	-12	-2	12	-16	10	8	12	-18	2

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Quadratic twists for elliptic curve 4680f4

-4	8	-3	5	13
9360l3	37440cc3	1560j3	23400bh3	60840br3

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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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