Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cj |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1816159232000000 = 216 · 56 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30808,368112] |
[a1,a2,a3,a4,a6] |
j |
50529889873/28377488 |
j-invariant |
L |
4.8686986362648 |
L(r)(E,1)/r! |
Ω |
0.40572493618948 |
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 |
16150f1 5168i1 |
Quadratic twists by: -4 5 |