Atkin-Lehner |
5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33235b |
Isogeny class |
Conductor |
33235 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
138070653125 = 55 · 174 · 232 |
Discriminant |
Eigenvalues |
0 -2 5+ 0 3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1541,14415] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:195:1] |
Generators of the group modulo torsion |
j |
4848615424/1653125 |
j-invariant |
L |
3.0212550001155 |
L(r)(E,1)/r! |
Ω |
0.95271729650657 |
Real period |
R |
0.5285329676134 |
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 |
33235c1 |
Quadratic twists by: 17 |