Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bi |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1062720 |
Modular degree for the optimal curve |
Δ |
-5265354218750000 = -1 · 24 · 510 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1418333,-650635162] |
[a1,a2,a3,a4,a6] |
j |
-2019475623116800/33698267 |
j-invariant |
L |
3.3893817864867 |
L(r)(E,1)/r! |
Ω |
0.069171078440207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300f1 129200dc1 |
Quadratic twists by: -4 5 |