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	4680i	Isogeny class
Conductor	4680	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-224866465200 = -1 · 24 · 39 · 52 · 134	Discriminant
Eigenvalues	2+ 3- 5-  0  0 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1518,-1519]	[a1,a2,a3,a4,a6]
j	33165879296/19278675	j-invariant
L	2.3546731971815	L(r)(E,1)/r!
Ω	0.58866829929538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9360s1 37440bc1 1560i1 23400bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680i1

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	-	6	4	0	2	0	-2	2	-4	-4	10	-8	-2	-4	12	-6	0	16	10	2

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Quadratic twists for elliptic curve 4680i1

-4	8	-3	5	13
9360s1	37440bc1	1560i1	23400bf1	60840bj1

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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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