Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bj |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
110156806656000 = 212 · 35 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80352056,-277205374800] |
[a1,a2,a3,a4,a6] |
Generators |
[-687963416488136558:-89925814020874:132939920507653] |
Generators of the group modulo torsion |
j |
14007310336277804358074809/26893751625 |
j-invariant |
L |
4.7505700785347 |
L(r)(E,1)/r! |
Ω |
0.050425510751311 |
Real period |
R |
23.552414291803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6045j4 |
Quadratic twists by: -4 |