Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22100j |
Isogeny class |
Conductor |
22100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
173723680000 = 28 · 54 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3 5- 2 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8200,-285100] |
[a1,a2,a3,a4,a6] |
j |
381105561600/1085773 |
j-invariant |
L |
6.0214586783667 |
L(r)(E,1)/r! |
Ω |
0.50178822319723 |
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 |
88400by1 22100g1 |
Quadratic twists by: -4 5 |