Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582p |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-88393916165868 = -1 · 22 · 315 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -4 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11103,43504] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:180:1] [62:-1017:1] |
Generators of the group modulo torsion |
j |
523845376921367/305861301612 |
j-invariant |
L |
9.5293560505908 |
L(r)(E,1)/r! |
Ω |
0.3655049848094 |
Real period |
R |
0.43452923365715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582k1 |
Quadratic twists by: 17 |