Atkin-Lehner |
31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
79763a |
Isogeny class |
Conductor |
79763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
477090 |
Modular degree for the optimal curve |
Δ |
-70789956107603 = -1 · 318 · 83 |
Discriminant |
Eigenvalues |
2 -1 -4 -1 -5 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9930,-552513] |
[a1,a2,a3,a4,a6] |
j |
-126976/83 |
j-invariant |
L |
0.2323114551939 |
L(r)(E,1)/r! |
Ω |
0.23231141591241 |
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 |
79763b1 |
Quadratic twists by: -31 |