Cremona's table of elliptic curves

2652 = 2² · 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 13- 17+	Signs for the Atkin-Lehner involutions
Class	2652c	Isogeny class
Conductor	2652	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-59574528 = -1 · 28 · 34 · 132 · 17	Discriminant
Eigenvalues	2- 3+  0  0 -4 13- 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,52,-360]	[a1,a2,a3,a4,a6]
Generators	[14:54:1]	Generators of the group modulo torsion
j	59582000/232713	j-invariant
L	2.7527215080252	L(r)(E,1)/r!
Ω	1.0021252595337	Real period
R	0.91562788910778	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	10608y2 42432p2 7956f2 66300w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2652c2

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

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Quadratic twists for elliptic curve 2652c2

-4	8	-3	5	-7	13	17
10608y2	42432p2	7956f2	66300w2	129948z2	34476a2	45084o2

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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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