Atkin-Lehner |
2- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79768i |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-602407936 = -1 · 210 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 0 -3 2 6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299,-2314] |
[a1,a2,a3,a4,a6] |
j |
-17082468/3481 |
j-invariant |
L |
2.2713203238535 |
L(r)(E,1)/r! |
Ω |
0.56783008579731 |
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 |
79768c1 |
Quadratic twists by: 13 |