Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
34760o |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-244710400 = -1 · 210 · 52 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-868] |
[a1,a2,a3,a4,a6] |
j |
-188183524/238975 |
j-invariant |
L |
1.3757997264087 |
L(r)(E,1)/r! |
Ω |
0.68789986321373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69520n1 |
Quadratic twists by: -4 |