Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600ct |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-668800000000 = -1 · 213 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2125,11250] |
[a1,a2,a3,a4,a6] |
j |
663255/418 |
j-invariant |
L |
2.2550958278506 |
L(r)(E,1)/r! |
Ω |
0.56377396033925 |
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 |
10450l1 83600br1 |
Quadratic twists by: -4 5 |