Cremona's table of elliptic curves

15990 = 2 · 3 · 5 · 13 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13- 41-	Signs for the Atkin-Lehner involutions
Class	15990r	Isogeny class
Conductor	15990	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	102272040 = 23 · 32 · 5 · 132 · 412	Discriminant
Eigenvalues	2- 3+ 5- -4 -2 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-180,717]	[a1,a2,a3,a4,a6]
Generators	[-5:41:1]	Generators of the group modulo torsion
j	645196518721/102272040	j-invariant
L	5.6336644183998	L(r)(E,1)/r!
Ω	1.8067522684909	Real period
R	0.51968611641349	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	127920cj2 47970l2 79950v2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15990r2

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

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Quadratic twists for elliptic curve 15990r2

-4	-3	5
127920cj2	47970l2	79950v2

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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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