Atkin-Lehner |
2- 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27612f |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
31167892246608 = 24 · 316 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136488,19406545] |
[a1,a2,a3,a4,a6] |
j |
24107912751087616/2672144397 |
j-invariant |
L |
3.798651986035 |
L(r)(E,1)/r! |
Ω |
0.63310866433926 |
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 |
110448bs1 9204e1 |
Quadratic twists by: -4 -3 |