Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135q |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-22407611893875 = -1 · 315 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33963582,-76184802225] |
[a1,a2,a3,a4,a6] |
Generators |
[62674:2977961:8] |
Generators of the group modulo torsion |
j |
-5943423068131740751396864/30737464875 |
j-invariant |
L |
4.5526050124192 |
L(r)(E,1)/r! |
Ω |
0.031269158018906 |
Real period |
R |
6.0664209571225 |
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 |
6045h1 90675u1 |
Quadratic twists by: -3 5 |