Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
29072o |
Isogeny class |
Conductor |
29072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1718208 |
Modular degree for the optimal curve |
Δ |
1.0822071091578E+21 |
Discriminant |
Eigenvalues |
2- -2 -4 0 2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3116600,-1408040876] |
[a1,a2,a3,a4,a6] |
j |
817348184878300169401/264210720009224192 |
j-invariant |
L |
0.3496302375209 |
L(r)(E,1)/r! |
Ω |
0.1165434125067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3634a1 116288bf1 |
Quadratic twists by: -4 8 |