Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088l |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-33882112 = -1 · 216 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 1 11- -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25580,1574704] |
[a1,a2,a3,a4,a6] |
Generators |
[93:11:1] |
Generators of the group modulo torsion |
j |
-28245248626500/517 |
j-invariant |
L |
5.3941304233236 |
L(r)(E,1)/r! |
Ω |
1.4854621515241 |
Real period |
R |
1.8156404785504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088u1 4136c1 |
Quadratic twists by: -4 8 |