Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800m |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
8031810176000 = 210 · 53 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5915,-109850] |
[a1,a2,a3,a4,a6] |
j |
37044/13 |
j-invariant |
L |
1.1201799106522 |
L(r)(E,1)/r! |
Ω |
0.56008995533163 |
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 |
67600v1 33800y1 2600l1 |
Quadratic twists by: -4 5 13 |