Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966h |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22763520 |
Modular degree for the optimal curve |
Δ |
-9.0560894621515E+25 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-258497784,1663978858816] |
[a1,a2,a3,a4,a6] |
j |
-3212327676841366369/152288236422144 |
j-invariant |
L |
0.4776434947876 |
L(r)(E,1)/r! |
Ω |
0.059705437444685 |
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 |
23322o1 69966bb1 |
Quadratic twists by: -3 13 |