Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710s |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
127628800 = 29 · 52 · 132 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -6 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-296,-2007] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13:1] [-82:107:8] |
Generators of the group modulo torsion |
j |
16974767641/755200 |
j-invariant |
L |
11.791937205599 |
L(r)(E,1)/r! |
Ω |
1.1541503384483 |
Real period |
R |
0.56761030235532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710o1 |
Quadratic twists by: 13 |