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	13650bj	Isogeny class
Conductor	13650	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	13801106120256000 = 29 · 312 · 53 · 74 · 132	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-32782641,72243301828]	[a1,a2,a3,a4,a6]
Generators	[3002:28266:1]	Generators of the group modulo torsion
j	31170623789533264459847549/110408848962048	j-invariant
L	4.1656203545682	L(r)(E,1)/r!
Ω	0.26476343506026	Real period
R	0.65555696818244	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	109200ep2 40950ex2 13650cf2 95550co2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650bj2

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	+	0	-2	2	-6	-4	6	2	0	-8	14	-6	-6	-4	-8	2	-16	12	14	6

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Quadratic twists for elliptic curve 13650bj2

-4	-3	5	-7
109200ep2	40950ex2	13650cf2	95550co2

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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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