Cremona's table of elliptic curves

5980 = 2² · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 13- 23-	Signs for the Atkin-Lehner involutions
Class	5980b	Isogeny class
Conductor	5980	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	1616992000 = 28 · 53 · 133 · 23	Discriminant
Eigenvalues	2-  1 5+ -1  0 13- -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6596,-208396]	[a1,a2,a3,a4,a6]
j	123991389857104/6316375	j-invariant
L	1.5892656195073	L(r)(E,1)/r!
Ω	0.52975520650242	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	23920k2 95680s2 53820u2 29900a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5980b2

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
-	1	+	-1	0	-	-3	-4	-	3	5	2	6	8	-12	-6	9	2	5	12	5	-7	3	15	-4

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Quadratic twists for elliptic curve 5980b2

-4	8	-3	5	13
23920k2	95680s2	53820u2	29900a2	77740k2

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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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