Atkin-Lehner |
2+ 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966s |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-192996290196864 = -1 · 27 · 37 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13509,-288923] |
[a1,a2,a3,a4,a6] |
j |
373979421247823/264741138816 |
j-invariant |
L |
2.5537835430018 |
L(r)(E,1)/r! |
Ω |
0.31922294287941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322h2 |
Quadratic twists by: -3 |