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	24	Product of Tamagawa factors cp
Δ	34971232667904000 = 211 · 314 · 53 · 134	Discriminant
Eigenvalues	2- 3- 5-  0  0 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-89067,4870726]	[a1,a2,a3,a4,a6]
j	52337949619538/23423590125	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	2	Number of elements in the torsion subgroup
Twists	9360q3 37440bi4 1560c3 23400n4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680r3

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 4680r3

-4	8	-3	5	13
9360q3	37440bi4	1560c3	23400n4	60840f4

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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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