Atkin-Lehner |
5- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785g |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506688 |
Modular degree for the optimal curve |
Δ |
144345442885 = 5 · 74 · 17 · 294 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-716445,-233172927] |
[a1,a2,a3,a4,a6] |
Generators |
[-61045:39:125] |
Generators of the group modulo torsion |
j |
16938725363182206976/60118885 |
j-invariant |
L |
2.9177055228651 |
L(r)(E,1)/r! |
Ω |
0.16409818977526 |
Real period |
R |
1.4816868694205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997458177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120785d1 |
Quadratic twists by: -7 |