Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34596p |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-25993477610247024 = -1 · 24 · 310 · 317 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 2 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20181,7835033] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
2.5172858617994 |
L(r)(E,1)/r! |
Ω |
0.31466073272646 |
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 |
11532d1 1116b1 |
Quadratic twists by: -3 -31 |