Cremona's table of elliptic curves

2601 = 3² · 17²

Field	Data	Notes
Atkin-Lehner	3- 17+	Signs for the Atkin-Lehner involutions
Class	2601l	Isogeny class
Conductor	2601	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-870323211 = -1 · 311 · 173	Discriminant
Eigenvalues	-2 3- -3 -2 -5 -1 17+ -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-7599,254970]	[a1,a2,a3,a4,a6]
Generators	[-34:688:1] [68:-230:1]	Generators of the group modulo torsion
j	-13549359104/243	j-invariant
L	1.8684487109914	L(r)(E,1)/r!
Ω	1.4515805271003	Real period
R	0.16089778314978	Regulator
r	2	Rank of the group of rational points
S	1.0000000000004	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	41616co2 867e2 65025br2 127449br2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2601l2

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
-2	-	-3	-2	-5	-1	+	-5	-1	-6	-10	2	-5	1	2	-6	0	-10	-12	0	-6	4	-6	10	-8

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Quadratic twists for elliptic curve 2601l2

-4	-3	5	-7	17
41616co2	867e2	65025br2	127449br2	2601k2

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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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