Atkin-Lehner |
2- 3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34038h |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-186921617166 = -1 · 2 · 313 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 0 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3092,-68587] |
[a1,a2,a3,a4,a6] |
j |
-4483146738169/256408254 |
j-invariant |
L |
2.5525338343162 |
L(r)(E,1)/r! |
Ω |
0.31906672929034 |
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 |
11346d1 |
Quadratic twists by: -3 |