Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694dc |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11975040 |
Modular degree for the optimal curve |
Δ |
-1.3367595381841E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1185616,-17583648642] |
[a1,a2,a3,a4,a6] |
j |
1472207/1067742 |
j-invariant |
L |
0.48479228692849 |
L(r)(E,1)/r! |
Ω |
0.048479253119562 |
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 |
122694bk1 9438n1 |
Quadratic twists by: -11 13 |