Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700i |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-102820990636000000 = -1 · 28 · 56 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-715400,-233411500] |
[a1,a2,a3,a4,a6] |
Generators |
[177473728564032474091:251138947032876553651:181505121939705871] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
5.2256706696933 |
L(r)(E,1)/r! |
Ω |
0.082066566413949 |
Real period |
R |
31.837999919082 |
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 |
2548j1 9100d1 |
Quadratic twists by: 5 -7 |