Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124n |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.0529811833914E+23 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13931402,12527682049] |
[a1,a2,a3,a4,a6] |
Generators |
[5924:-371293:1] |
Generators of the group modulo torsion |
j |
13707167488/4826809 |
j-invariant |
L |
2.2936413060736 |
L(r)(E,1)/r! |
Ω |
0.097218172790847 |
Real period |
R |
1.9660601512987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33124b2 2548f2 |
Quadratic twists by: -7 13 |