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	13650be	Isogeny class
Conductor	13650	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	69982910156250 = 2 · 32 · 514 · 72 · 13	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1529126,-727928602]	[a1,a2,a3,a4,a6]
Generators	[-714:367:1]	Generators of the group modulo torsion
j	25306558948218234961/4478906250	j-invariant
L	4.1700578217117	L(r)(E,1)/r!
Ω	0.13576529734698	Real period
R	1.9196997977391	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	109200cy6 40950ef6 2730w5 95550br6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650be5

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

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Quadratic twists for elliptic curve 13650be5

-4	-3	5	-7
109200cy6	40950ef6	2730w5	95550br6

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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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