Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6760b |
Isogeny class |
Conductor |
6760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
326292288400 = 24 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 1 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71036,7310965] |
[a1,a2,a3,a4,a6] |
Generators |
[113:845:1] |
Generators of the group modulo torsion |
j |
3037375744/25 |
j-invariant |
L |
2.6196876129521 |
L(r)(E,1)/r! |
Ω |
0.86640633895507 |
Real period |
R |
0.25196872560124 |
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 |
13520b1 54080bh1 60840bz1 33800p1 |
Quadratic twists by: -4 8 -3 5 |