Atkin-Lehner |
2- 7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674ba |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-106930012786688 = -1 · 212 · 76 · 133 · 101 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 4 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-122109,16380307] |
[a1,a2,a3,a4,a6] |
Generators |
[251:-1400:1] |
Generators of the group modulo torsion |
j |
-1711507151858113/908890112 |
j-invariant |
L |
6.8360676874552 |
L(r)(E,1)/r! |
Ω |
0.58728786208608 |
Real period |
R |
0.16166754178484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626d1 |
Quadratic twists by: -7 |