Atkin-Lehner |
2- 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930bg |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1714176 |
Modular degree for the optimal curve |
Δ |
1963862625114000 = 24 · 312 · 53 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37537457,-88511425711] |
[a1,a2,a3,a4,a6] |
j |
8023996232564328604273609/2693913066000 |
j-invariant |
L |
2.1957649301541 |
L(r)(E,1)/r! |
Ω |
0.060993470282099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310e1 |
Quadratic twists by: -3 |