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	13650bd	Isogeny class
Conductor	13650	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	8.8579260846031E+23	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-230450501,-1345783150852]	[a1,a2,a3,a4,a6]
Generators	[-8628:20851:1]	Generators of the group modulo torsion
j	86623684689189325642735681/56690726941459561860	j-invariant
L	4.5943746709138	L(r)(E,1)/r!
Ω	0.038750044110647	Real period
R	0.9262841614844	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	109200cz8 40950eg8 2730v7 95550bn8	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13650bd7

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

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Quadratic twists for elliptic curve 13650bd7

-4	-3	5	-7
109200cz8	40950eg8	2730v7	95550bn8

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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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