Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312ba |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
1525056 = 26 · 3 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 1 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,239] |
[a1,a2,a3,a4,a6] |
j |
862801408/23829 |
j-invariant |
L |
5.343411968645 |
L(r)(E,1)/r! |
Ω |
2.6717062611429 |
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 |
117312h1 58656g1 |
Quadratic twists by: -4 8 |