Cremona's table of elliptic curves

13272 = 2³ · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 79-	Signs for the Atkin-Lehner involutions
Class	13272g	Isogeny class
Conductor	13272	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	103203072 = 28 · 36 · 7 · 79	Discriminant
Eigenvalues	2- 3-  0 7-  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-148,-544]	[a1,a2,a3,a4,a6]
Generators	[-10:6:1]	Generators of the group modulo torsion
j	1409938000/403137	j-invariant
L	5.9386825031844	L(r)(E,1)/r!
Ω	1.3977919928523	Real period
R	0.70810279516457	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	26544a1 106176j1 39816e1 92904n1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13272g1

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	6	0	-8	-8	8	-6	-2	-4	0	12	-8	2	4	-14	6	-	-2	0	-18

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Quadratic twists for elliptic curve 13272g1

-4	8	-3	-7
26544a1	106176j1	39816e1	92904n1

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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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