Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216z |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
34500677328 = 24 · 310 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,62611] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:891:8] |
Generators of the group modulo torsion |
j |
256000000000/2957877 |
j-invariant |
L |
8.7072817488476 |
L(r)(E,1)/r! |
Ω |
1.1671142883316 |
Real period |
R |
3.7302609723226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24804d1 33072u1 |
Quadratic twists by: -4 -3 |