Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311v |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
780192 |
Modular degree for the optimal curve |
Δ |
-61390525570857 = -1 · 37 · 72 · 174 · 193 |
Discriminant |
Eigenvalues |
1 3- 0 7- 3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-839696,-296233261] |
[a1,a2,a3,a4,a6] |
Generators |
[1197:19750:1] |
Generators of the group modulo torsion |
j |
-783959335735821625/735031017 |
j-invariant |
L |
10.526869025031 |
L(r)(E,1)/r! |
Ω |
0.078856786558484 |
Real period |
R |
1.0594722769548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311e1 |
Quadratic twists by: 17 |