Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080br |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-3970560000 = -1 · 212 · 3 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,384,-780] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:17000:27] |
Generators of the group modulo torsion |
j |
1524845951/969375 |
j-invariant |
L |
7.9805162314859 |
L(r)(E,1)/r! |
Ω |
0.79885276582451 |
Real period |
R |
4.9949856505407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755c1 |
Quadratic twists by: -4 |