Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cw |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
1088 |
Product of Tamagawa factors cp |
deg |
72382464 |
Modular degree for the optimal curve |
Δ |
-1.2723822342925E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106785104,-689160177408] |
[a1,a2,a3,a4,a6] |
Generators |
[64624:16163296:1] |
Generators of the group modulo torsion |
j |
-11832089797403/11179524096 |
j-invariant |
L |
14.80974973569 |
L(r)(E,1)/r! |
Ω |
0.022607037178936 |
Real period |
R |
0.60210907747833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694bc1 9438k1 |
Quadratic twists by: -11 13 |