Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55738f |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
795321508864 = 210 · 292 · 314 |
Discriminant |
Eigenvalues |
2+ -1 -3 3 -3 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9149,330301] |
[a1,a2,a3,a4,a6] |
Generators |
[90:451:1] [-15:689:1] |
Generators of the group modulo torsion |
j |
91721677273/861184 |
j-invariant |
L |
5.0400275095194 |
L(r)(E,1)/r! |
Ω |
0.89931026045812 |
Real period |
R |
0.46702713282289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738d1 |
Quadratic twists by: -31 |