Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115444j |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
379008 |
Modular degree for the optimal curve |
Δ |
-1320375186301696 = -1 · 28 · 710 · 19 · 312 |
Discriminant |
Eigenvalues |
2- -2 1 7- 0 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12805,1830807] |
[a1,a2,a3,a4,a6] |
j |
-3211264/18259 |
j-invariant |
L |
0.83417746859147 |
L(r)(E,1)/r! |
Ω |
0.41708934001362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444b1 |
Quadratic twists by: -7 |