Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79764j |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
569384785152 = 28 · 39 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -6 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2765,41679] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:54:1] [-23:306:1] |
Generators of the group modulo torsion |
j |
1859428352/452709 |
j-invariant |
L |
8.8649629454009 |
L(r)(E,1)/r! |
Ω |
0.86402068424609 |
Real period |
R |
0.19000237316682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79764c1 |
Quadratic twists by: 17 |