Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34596o |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-320907130990704 = -1 · 24 · 36 · 317 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -6 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20181,1400177] |
[a1,a2,a3,a4,a6] |
j |
-87808/31 |
j-invariant |
L |
2.0462488141318 |
L(r)(E,1)/r! |
Ω |
0.51156220353535 |
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 |
3844c1 1116e1 |
Quadratic twists by: -3 -31 |