Atkin-Lehner |
2- 3+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518t |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3445076124 = -1 · 22 · 39 · 72 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,376,-377] |
[a1,a2,a3,a4,a6] |
j |
299418309/175028 |
j-invariant |
L |
6.6415831120769 |
L(r)(E,1)/r! |
Ω |
0.83019789719814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518f1 |
Quadratic twists by: -3 |