Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gt |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
568401403576320000 = 225 · 313 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279075,43638050] |
[a1,a2,a3,a4,a6] |
j |
1288009359025/304570368 |
j-invariant |
L |
2.1893900401963 |
L(r)(E,1)/r! |
Ω |
0.273673755534 |
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 |
7650bd1 20400cs1 61200fy1 |
Quadratic twists by: -4 -3 5 |