Atkin-Lehner |
11- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
96679a |
Isogeny class |
Conductor |
96679 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
66527430233 = 116 · 17 · 472 |
Discriminant |
Eigenvalues |
1 2 4 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1938,-31225] |
[a1,a2,a3,a4,a6] |
j |
454756609/37553 |
j-invariant |
L |
6.5095128255399 |
L(r)(E,1)/r! |
Ω |
0.72327918747195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
799a1 |
Quadratic twists by: -11 |