Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bi |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9085440 |
Modular degree for the optimal curve |
Δ |
-2.2329471838953E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,222034,-7189420611] |
[a1,a2,a3,a4,a6] |
j |
2035680647/37549495296 |
j-invariant |
L |
3.3371746050251 |
L(r)(E,1)/r! |
Ω |
0.055619577217283 |
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 |
23322c1 69966s1 |
Quadratic twists by: -3 13 |