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	4680r	Isogeny class
Conductor	4680	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	159668496000000 = 210 · 310 · 56 · 132	Discriminant
Eigenvalues	2- 3- 5-  0  0 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-44067,-3508274]	[a1,a2,a3,a4,a6]
j	12677589459076/213890625	j-invariant
L	1.9790958996296	L(r)(E,1)/r!
Ω	0.32984931660494	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	9360q2 37440bi2 1560c2 23400n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680r2

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

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Quadratic twists for elliptic curve 4680r2

-4	8	-3	5	13
9360q2	37440bi2	1560c2	23400n2	60840f2

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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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