Atkin-Lehner |
3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83259p |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1224960 |
Modular degree for the optimal curve |
Δ |
-324929554828274979 = -1 · 310 · 11 · 298 |
Discriminant |
Eigenvalues |
2 3- -1 -2 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,73167,26346217] |
[a1,a2,a3,a4,a6] |
j |
118784/891 |
j-invariant |
L |
2.6669908030509 |
L(r)(E,1)/r! |
Ω |
0.2222492323896 |
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 |
27753b1 83259i1 |
Quadratic twists by: -3 29 |