Atkin-Lehner |
2+ 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99864c |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
177051681792 = 210 · 38 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,10262] |
[a1,a2,a3,a4,a6] |
j |
515150500/237177 |
j-invariant |
L |
3.6330439666498 |
L(r)(E,1)/r! |
Ω |
0.90826098255487 |
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 |
33288h1 |
Quadratic twists by: -3 |