Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506bn |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-5039939449484476416 = -1 · 233 · 37 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,250238,96690884] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:5678:1] |
Generators of the group modulo torsion |
j |
71054140594037203/206648056479744 |
j-invariant |
L |
9.4450278613144 |
L(r)(E,1)/r! |
Ω |
0.17076993493186 |
Real period |
R |
0.11971535421434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506i1 |
Quadratic twists by: 29 |