Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642bf |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-106546776 = -1 · 23 · 3 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197,-1191] |
[a1,a2,a3,a4,a6] |
j |
-352263793/44376 |
j-invariant |
L |
3.7961593371133 |
L(r)(E,1)/r! |
Ω |
0.63269322285222 |
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 |
101136z1 37926i1 12642bb1 |
Quadratic twists by: -4 -3 -7 |