Atkin-Lehner |
2- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3136p |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
2458624 = 210 · 74 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 3 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-167] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
1.6877445868067 |
L(r)(E,1)/r! |
Ω |
1.6877445868067 |
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 |
3136a1 784a1 28224eq1 78400gb1 |
Quadratic twists by: -4 8 -3 5 |