Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13916c |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
464965789456 = 24 · 78 · 712 |
Discriminant |
Eigenvalues |
2- -3 3 7+ 3 6 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,31213] |
[a1,a2,a3,a4,a6] |
j |
16595712/5041 |
j-invariant |
L |
1.7354669204223 |
L(r)(E,1)/r! |
Ω |
0.86773346021113 |
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 |
55664i1 125244m1 13916g1 |
Quadratic twists by: -4 -3 -7 |