Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192h |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8363520 |
Modular degree for the optimal curve |
Δ |
139991783132432 = 24 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157094824,757915756413] |
[a1,a2,a3,a4,a6] |
Generators |
[1724675142:4726785:238328] |
Generators of the group modulo torsion |
j |
125010899201942440192/40817 |
j-invariant |
L |
9.023628223837 |
L(r)(E,1)/r! |
Ω |
0.24201214213099 |
Real period |
R |
9.3214623222031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999626296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192bg1 |
Quadratic twists by: -11 |