Atkin-Lehner |
2- 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dm |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
5829120 |
Modular degree for the optimal curve |
Δ |
-1.4207603104845E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2097968,-2157441573] |
[a1,a2,a3,a4,a6] |
j |
-1400853013706337380281/1948916749635785160 |
j-invariant |
L |
3.9395886092925 |
L(r)(E,1)/r! |
Ω |
0.05969075249632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39270u1 |
Quadratic twists by: -3 |