Cremona's table of elliptic curves

7980 = 2² · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	7980d	Isogeny class
Conductor	7980	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-11815699218750000 = -1 · 24 · 32 · 512 · 72 · 193	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-15881,-5291556]	[a1,a2,a3,a4,a6]
Generators	[316:4620:1]	Generators of the group modulo torsion
j	-27686280413691904/738481201171875	j-invariant
L	4.7744620159731	L(r)(E,1)/r!
Ω	0.17436567945975	Real period
R	4.5636484874453	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	31920r3 127680bi3 23940t3 39900c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7980d3

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

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Quadratic twists for elliptic curve 7980d3

-4	8	-3	5	-7
31920r3	127680bi3	23940t3	39900c3	55860k3

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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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