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	13202i	Isogeny class
Conductor	13202	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	5762743293223927808 = 215 · 76 · 232 · 414	Discriminant
Eigenvalues	2-  2  2 7+ -2  0 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-451042,15759343]	[a1,a2,a3,a4,a6]
Generators	[-119:8291:1]	Generators of the group modulo torsion
j	10147866029866270554913/5762743293223927808	j-invariant
L	10.255291479326	L(r)(E,1)/r!
Ω	0.20629789485265	Real period
R	1.6570360524281	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	105616u2 118818i2 92414bc2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 13202i2

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	2	+	-2	0	-6	-8	-	2	-4	4	+	2	-8	-12	6	6	-10	8	-6	8	4	6	14

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Quadratic twists for elliptic curve 13202i2

-4	-3	-7
105616u2	118818i2	92414bc2

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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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