Atkin-Lehner |
2+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810r |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-117332240157620 = -1 · 22 · 5 · 178 · 292 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14023,-825842] |
[a1,a2,a3,a4,a6] |
j |
-43713001/16820 |
j-invariant |
L |
2.5830357008819 |
L(r)(E,1)/r! |
Ω |
0.2152529852961 |
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 |
83810b1 |
Quadratic twists by: 17 |