Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cg |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
11304960 |
Modular degree for the optimal curve |
Δ |
4251447146188800 = 212 · 34 · 52 · 175 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-958403576,-11420441693676] |
[a1,a2,a3,a4,a6] |
j |
23768897678689118960520250489/1037950963425 |
j-invariant |
L |
3.9072836136364 |
L(r)(E,1)/r! |
Ω |
0.02713391425507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845a1 |
Quadratic twists by: -4 |