Cremona's table of elliptic curves

13832 = 2³ · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	13832g	Isogeny class
Conductor	13832	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-32726512 = -1 · 24 · 72 · 133 · 19	Discriminant
Eigenvalues	2-  0  0 7-  2 13- -1 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,25,271]	[a1,a2,a3,a4,a6]
Generators	[-3:13:1]	Generators of the group modulo torsion
j	108000000/2045407	j-invariant
L	4.8710185628062	L(r)(E,1)/r!
Ω	1.549570363947	Real period
R	0.26195532840034	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	27664c1 110656m1 124488w1 96824h1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13832g1

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
-	0	0	-	2	-	-1	-	9	-4	3	-11	-9	1	12	-4	-3	-11	-3	-8	-2	4	0	-6	17

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Quadratic twists for elliptic curve 13832g1

-4	8	-3	-7
27664c1	110656m1	124488w1	96824h1

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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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