Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632l |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-8976678285442608 = -1 · 24 · 315 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40290,-3330187] |
[a1,a2,a3,a4,a6] |
j |
620108955392000/769605477147 |
j-invariant |
L |
1.762145634251 |
L(r)(E,1)/r! |
Ω |
0.22026820428083 |
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 |
69264i1 11544a1 |
Quadratic twists by: -4 -3 |