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	7980a	Isogeny class
Conductor	7980	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-26002830000 = -1 · 24 · 3 · 54 · 74 · 192	Discriminant
Eigenvalues	2- 3+ 5- 7+ -6  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,315,7350]	[a1,a2,a3,a4,a6]
Generators	[5:95:1]	Generators of the group modulo torsion
j	215355490304/1625176875	j-invariant
L	3.5103887463783	L(r)(E,1)/r!
Ω	0.86759517772246	Real period
R	0.33717614279445	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	31920cf1 127680ck1 23940l1 39900s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7980a1

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

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Quadratic twists for elliptic curve 7980a1

-4	8	-3	5	-7
31920cf1	127680ck1	23940l1	39900s1	55860z1

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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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