Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7280n |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
8818933760 = 214 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3736,-86544] |
[a1,a2,a3,a4,a6] |
Generators |
[90:546:1] |
Generators of the group modulo torsion |
j |
1408317602329/2153060 |
j-invariant |
L |
5.319780495363 |
L(r)(E,1)/r! |
Ω |
0.61070015058706 |
Real period |
R |
1.4518255508996 |
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 |
910c1 29120cc1 65520dr1 36400by1 |
Quadratic twists by: -4 8 -3 5 |