Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bh |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2167616307200 = -1 · 228 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5488,-173612] |
[a1,a2,a3,a4,a6] |
j |
-178543973785/21168128 |
j-invariant |
L |
1.1020177936899 |
L(r)(E,1)/r! |
Ω |
0.27550456569614 |
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 |
16150r1 129200da1 |
Quadratic twists by: -4 5 |