Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056s |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-7343222832 = -1 · 24 · 36 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234,-4347] |
[a1,a2,a3,a4,a6] |
Generators |
[32270:517517:125] |
Generators of the group modulo torsion |
j |
-121485312/629563 |
j-invariant |
L |
6.6784139328402 |
L(r)(E,1)/r! |
Ω |
0.55002872580002 |
Real period |
R |
6.0709683145426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112v1 3784d1 |
Quadratic twists by: -4 -3 |