Atkin-Lehner |
2+ 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050b |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-2883200 = -1 · 27 · 52 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 4 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15,85] |
[a1,a2,a3,a4,a6] |
j |
13428095/115328 |
j-invariant |
L |
1.8602442520856 |
L(r)(E,1)/r! |
Ω |
1.8602442519087 |
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 |
45050o1 |
Quadratic twists by: 5 |