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	4680s	Isogeny class
Conductor	4680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-213206722560 = -1 · 211 · 36 · 5 · 134	Discriminant
Eigenvalues	2- 3- 5-  0  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1413,8694]	[a1,a2,a3,a4,a6]
j	208974222/142805	j-invariant
L	2.5191948408742	L(r)(E,1)/r!
Ω	0.62979871021855	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9360r4 37440bm3 520a4 23400o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680s4

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	+	6	4	0	2	-4	-6	6	8	0	-2	-4	-10	12	4	14	-16	-12	-2	-2

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Quadratic twists for elliptic curve 4680s4

-4	8	-3	5	13
9360r4	37440bm3	520a4	23400o3	60840h3

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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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