Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	3120y	Isogeny class
Conductor	3120	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-98403102720 = -1 · 212 · 37 · 5 · 133	Discriminant
Eigenvalues	2- 3- 5- -3  1 13+ -1  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3045,-67437]	[a1,a2,a3,a4,a6]
j	-762549907456/24024195	j-invariant
L	2.2451938245653	L(r)(E,1)/r!
Ω	0.32074197493789	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	195d1 12480by1 9360bk1 15600bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120y1

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
-	-	-	-3	1	+	-1	2	3	-2	6	11	-5	-4	10	11	-8	13	-12	5	10	3	12	-15	17

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Quadratic twists for elliptic curve 3120y1

-4	8	-3	5	13
195d1	12480by1	9360bk1	15600bk1	40560ch1

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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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