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	13650cl	Isogeny class
Conductor	13650	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	-117544415625000 = -1 · 23 · 310 · 58 · 72 · 13	Discriminant
Eigenvalues	2- 3- 5+ 7+  2 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,9437,-383383]	[a1,a2,a3,a4,a6]
Generators	[92:1079:1]	Generators of the group modulo torsion
j	5948434379159/7522842600	j-invariant
L	8.3980729647765	L(r)(E,1)/r!
Ω	0.31573830176101	Real period
R	0.44330346355071	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	109200dq2 40950t2 2730j2 95550hg2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650cl2

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

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Quadratic twists for elliptic curve 13650cl2

-4	-3	5	-7
109200dq2	40950t2	2730j2	95550hg2

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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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