Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418p |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
117936 |
Modular degree for the optimal curve |
Δ |
-93241689991912 = -1 · 23 · 710 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10755,-173179] |
[a1,a2,a3,a4,a6] |
Generators |
[3639:50447:27] |
Generators of the group modulo torsion |
j |
486980375/330088 |
j-invariant |
L |
6.0412556114687 |
L(r)(E,1)/r! |
Ω |
0.34136484424254 |
Real period |
R |
5.8991190934084 |
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 |
33418g1 |
Quadratic twists by: -7 |