Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600k |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-857968750000 = -1 · 24 · 510 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3383,89012] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1050:1] |
Generators of the group modulo torsion |
j |
-17132394496/3431875 |
j-invariant |
L |
10.876861675496 |
L(r)(E,1)/r! |
Ω |
0.8524504253439 |
Real period |
R |
3.1898810041507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200m1 12920n1 |
Quadratic twists by: -4 5 |