Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384cf |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4103415297072 = -1 · 24 · 37 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,690,-97211] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-833:1] |
Generators of the group modulo torsion |
j |
3114752000/351801723 |
j-invariant |
L |
6.4732531855163 |
L(r)(E,1)/r! |
Ω |
0.36999174787315 |
Real period |
R |
1.0934793159574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128j1 |
Quadratic twists by: -3 |