Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798u |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
167412322271232 = 227 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -5 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143897,21036665] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-404:1] |
Generators of the group modulo torsion |
j |
452010552257419849/229646532608 |
j-invariant |
L |
4.5901947005868 |
L(r)(E,1)/r! |
Ω |
0.56540213694922 |
Real period |
R |
0.15034185407412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422b1 |
Quadratic twists by: -3 |