Atkin-Lehner |
2+ 3+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8466c |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-227514064896 = -1 · 213 · 39 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 -3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,179,23005] |
[a1,a2,a3,a4,a6] |
j |
628762020263/227514064896 |
j-invariant |
L |
0.7712327858418 |
L(r)(E,1)/r! |
Ω |
0.7712327858418 |
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 |
67728bb1 25398m1 |
Quadratic twists by: -4 -3 |