Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cn |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
486000 |
Modular degree for the optimal curve |
Δ |
-150931328204800 = -1 · 218 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15793,959311] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
j-invariant |
L |
9.8113233837312 |
L(r)(E,1)/r! |
Ω |
0.54507352368373 |
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 |
78650bf1 650b1 |
Quadratic twists by: 5 -11 |