Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908f |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
1735874974288 = 24 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6760,204321] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:507:1] |
Generators of the group modulo torsion |
j |
442368000/22477 |
j-invariant |
L |
4.6006527264528 |
L(r)(E,1)/r! |
Ω |
0.82787308391012 |
Real period |
R |
1.8523985577227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6916c1 |
Quadratic twists by: 13 |