Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bh |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
69676125719841476 = 22 · 117 · 197 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-161074,21437133] |
[a1,a2,a3,a4,a6] |
j |
5545233/836 |
j-invariant |
L |
0.66470993416968 |
L(r)(E,1)/r! |
Ω |
0.33235503207334 |
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 |
7942h1 4598d1 |
Quadratic twists by: -11 -19 |