Atkin-Lehner |
2- 17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14858b |
Isogeny class |
Conductor |
14858 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
18687322624 = 29 · 174 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 2 1 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66862,6626667] |
[a1,a2,a3,a4,a6] |
Generators |
[135:221:1] |
Generators of the group modulo torsion |
j |
33056906374540465633/18687322624 |
j-invariant |
L |
5.1266136018839 |
L(r)(E,1)/r! |
Ω |
1.0061783060618 |
Real period |
R |
0.28306301681866 |
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 |
118864f1 |
Quadratic twists by: -4 |