Atkin-Lehner |
2+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
9130b |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-216647235365000000 = -1 · 26 · 57 · 11 · 835 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53861,21875686] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:3392:1] |
Generators of the group modulo torsion |
j |
17280588963391998551/216647235365000000 |
j-invariant |
L |
3.5128657999251 |
L(r)(E,1)/r! |
Ω |
0.23315955094416 |
Real period |
R |
1.5066360291483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73040g1 82170bw1 45650v1 100430x1 |
Quadratic twists by: -4 -3 5 -11 |