Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600bn |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
153702669250000 = 24 · 56 · 133 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13900,-205125] |
[a1,a2,a3,a4,a6] |
j |
1188031905792/614810677 |
j-invariant |
L |
2.7910119048316 |
L(r)(E,1)/r! |
Ω |
0.46516877969939 |
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 |
29900d1 4784b1 |
Quadratic twists by: -4 5 |