Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100j |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-480245750000 = -1 · 24 · 56 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 4 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11125,-452875] |
[a1,a2,a3,a4,a6] |
j |
-609093216000/1920983 |
j-invariant |
L |
5.5772970727532 |
L(r)(E,1)/r! |
Ω |
0.2323873780318 |
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 |
1564a1 |
Quadratic twists by: 5 |