Atkin-Lehner |
2- 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120080d |
Isogeny class |
Conductor |
120080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-118931987168000 = -1 · 28 · 53 · 196 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5861,-550439] |
[a1,a2,a3,a4,a6] |
j |
-86990736523264/464578074875 |
j-invariant |
L |
0.98197151803121 |
L(r)(E,1)/r! |
Ω |
0.24549263367934 |
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 |
30020a1 |
Quadratic twists by: -4 |