Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650bm |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-13156171875000 = -1 · 23 · 37 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,174541] |
[a1,a2,a3,a4,a6] |
j |
-25/1848 |
j-invariant |
L |
2.2595180125038 |
L(r)(E,1)/r! |
Ω |
0.56487950312703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550br1 34650ee1 |
Quadratic twists by: -3 5 |