Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710t |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
964800 |
Modular degree for the optimal curve |
Δ |
1413563495219200 = 225 · 52 · 134 · 59 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 0 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43803,3040587] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:378:1] [75:-454:1] |
Generators of the group modulo torsion |
j |
325426244878449/49492787200 |
j-invariant |
L |
9.8148433092856 |
L(r)(E,1)/r! |
Ω |
0.4597545207909 |
Real period |
R |
0.14232005507355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710p1 |
Quadratic twists by: 13 |