Atkin-Lehner |
3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059o |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-180251140094739 = -1 · 37 · 78 · 17 · 292 |
Discriminant |
Eigenvalues |
2 3- 3 7- 3 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13611,-889277] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:3083:8] |
Generators of the group modulo torsion |
j |
-382530691698688/247258079691 |
j-invariant |
L |
13.903051277175 |
L(r)(E,1)/r! |
Ω |
0.21475665947091 |
Real period |
R |
2.0230820943207 |
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 |
10353d1 |
Quadratic twists by: -3 |