Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930q |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2521502629776000000 = -1 · 210 · 38 · 56 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,327501,25074805] |
[a1,a2,a3,a4,a6] |
Generators |
[6:5197:1] |
Generators of the group modulo torsion |
j |
5328847957372469711/3458851344000000 |
j-invariant |
L |
4.8037773965106 |
L(r)(E,1)/r! |
Ω |
0.16061658049431 |
Real period |
R |
0.62309068872365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310h2 |
Quadratic twists by: -3 |