Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350l |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-3835250000 = -1 · 24 · 56 · 232 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -3 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-3219] |
[a1,a2,a3,a4,a6] |
Generators |
[19:13:1] |
Generators of the group modulo torsion |
j |
-47045881/245456 |
j-invariant |
L |
6.1292525503828 |
L(r)(E,1)/r! |
Ω |
0.58075344116852 |
Real period |
R |
1.3192458528635 |
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 |
1334a1 |
Quadratic twists by: 5 |