Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cp |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
1.7580018456665E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21819509,-39186943333] |
[a1,a2,a3,a4,a6] |
Generators |
[-71745:204412:27] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
9.3881151586039 |
L(r)(E,1)/r! |
Ω |
0.069859942600111 |
Real period |
R |
5.5993670828432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154i1 9438i1 |
Quadratic twists by: -11 13 |