Cremona's table of elliptic curves

13202 = 2 · 7 · 23 · 41

Field	Data	Notes
Atkin-Lehner	2+ 7+ 23+ 41+	Signs for the Atkin-Lehner involutions
Class	13202b	Isogeny class
Conductor	13202	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1394342432 = 25 · 72 · 232 · 412	Discriminant
Eigenvalues	2+  0 -2 7+ -4  2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-308,-976]	[a1,a2,a3,a4,a6]
Generators	[-5:23:1]	Generators of the group modulo torsion
j	3237194335257/1394342432	j-invariant
L	2.3150022495758	L(r)(E,1)/r!
Ω	1.1848123858948	Real period
R	0.9769488727228	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	105616w2 118818bf2 92414f2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 13202b2

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

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Quadratic twists for elliptic curve 13202b2

-4	-3	-7
105616w2	118818bf2	92414f2

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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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