Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744o |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-4852224 = -1 · 29 · 36 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,106] |
[a1,a2,a3,a4,a6] |
j |
-8/13 |
j-invariant |
L |
1.9602366826283 |
L(r)(E,1)/r! |
Ω |
1.9602366826283 |
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 |
3744g1 7488l1 416a1 93600bc1 |
Quadratic twists by: -4 8 -3 5 |