Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	13650ck	Isogeny class
Conductor	13650	Conductor
∏ cp	1760	Product of Tamagawa factors cp
Δ	-3.2998927571064E+21	Discriminant
Eigenvalues	2- 3- 5+ 7+  2 13+ -4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-87588,2763819792]	[a1,a2,a3,a4,a6]
Generators	[3132:-183816:1]	Generators of the group modulo torsion
j	-4755955967570809/211193136454809600	j-invariant
L	8.3606833725766	L(r)(E,1)/r!
Ω	0.11280186294138	Real period
R	0.16845070306478	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	109200dp2 40950s2 2730e2 95550hf2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650ck2

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

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Quadratic twists for elliptic curve 13650ck2

-4	-3	5	-7
109200dp2	40950s2	2730e2	95550hf2

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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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