Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122694dk |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-15132560682096 = -1 · 24 · 35 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5866,72084] |
[a1,a2,a3,a4,a6] |
Generators |
[10:358:1] |
Generators of the group modulo torsion |
j |
5735339/3888 |
j-invariant |
L |
11.995145561352 |
L(r)(E,1)/r! |
Ω |
0.44092421436706 |
Real period |
R |
0.68011378658811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014c1 122694bp1 |
Quadratic twists by: -11 13 |