Cremona's table of elliptic curves

1980 = 2² · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	1980a	Isogeny class
Conductor	1980	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	7056720 = 24 · 36 · 5 · 112	Discriminant
Eigenvalues	2- 3- 5+  0 11+  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48,-7]	[a1,a2,a3,a4,a6]
Generators	[-4:11:1]	Generators of the group modulo torsion
j	1048576/605	j-invariant
L	2.8688812476593	L(r)(E,1)/r!
Ω	1.9783597182827	Real period
R	0.4833770827329	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7920bb1 31680bp1 220b1 9900i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1980a1

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

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Quadratic twists for elliptic curve 1980a1

-4	8	-3	5	-7	-11
7920bb1	31680bp1	220b1	9900i1	97020ck1	21780g1

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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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