Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124s |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1185408 |
Modular degree for the optimal curve |
Δ |
3686779816502792464 = 24 · 710 · 138 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 5 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405769,-36924979] |
[a1,a2,a3,a4,a6] |
Generators |
[-29394222:537313699:287496] |
Generators of the group modulo torsion |
j |
338688/169 |
j-invariant |
L |
8.7340502482253 |
L(r)(E,1)/r! |
Ω |
0.19920310800322 |
Real period |
R |
10.961237422164 |
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 |
33124e1 2548k1 |
Quadratic twists by: -7 13 |