Atkin-Lehner |
2+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71656c |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
-360981676550144 = -1 · 211 · 137 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -1 -3 4 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,914096] |
[a1,a2,a3,a4,a6] |
j |
-2/36517 |
j-invariant |
L |
1.7090379902467 |
L(r)(E,1)/r! |
Ω |
0.42725949641057 |
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 |
5512d1 |
Quadratic twists by: 13 |