Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dw |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1459200 = 210 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:117:125] |
Generators of the group modulo torsion |
j |
160000/57 |
j-invariant |
L |
9.9520815888327 |
L(r)(E,1)/r! |
Ω |
2.0454852230118 |
Real period |
R |
4.8653891419254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fj1 11400b1 91200cf1 |
Quadratic twists by: -4 8 5 |