Cremona's table of elliptic curves

2601 = 3² · 17²

Field	Data	Notes
Atkin-Lehner	3- 17+	Signs for the Atkin-Lehner involutions
Class	2601h	Isogeny class
Conductor	2601	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-567202137060979593 = -1 · 314 · 179	Discriminant
Eigenvalues	1 3-  0  4  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,161208,-26352027]	[a1,a2,a3,a4,a6]
j	5359375/6561	j-invariant
L	2.8090897433874	L(r)(E,1)/r!
Ω	0.1560605412993	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	41616bz2 867d2 65025bq2 127449be2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2601h2

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	-	0	4	4	2	+	4	-4	0	-4	8	-8	4	8	6	-12	8	12	-12	0	4	12	10	16

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Quadratic twists for elliptic curve 2601h2

-4	-3	5	-7	17
41616bz2	867d2	65025bq2	127449be2	2601i2

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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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