Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bj |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-884226392064 = -1 · 229 · 33 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -2 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,-29232] |
[a1,a2,a3,a4,a6] |
j |
125751501/124928 |
j-invariant |
L |
3.8631282524967 |
L(r)(E,1)/r! |
Ω |
0.48289103156442 |
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 |
35136c1 8784n1 35136bk1 |
Quadratic twists by: -4 8 -3 |