Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920j |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-18229174778880 = -1 · 210 · 38 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11883,-539242] |
[a1,a2,a3,a4,a6] |
j |
-248584770724/24419655 |
j-invariant |
L |
1.8189217429897 |
L(r)(E,1)/r! |
Ω |
0.22736522083591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640q1 |
Quadratic twists by: -3 |