Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075bi |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
208535291015625 = 36 · 59 · 74 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32067,2106216] |
[a1,a2,a3,a4,a6] |
j |
320153881321/18307625 |
j-invariant |
L |
2.2166834489144 |
L(r)(E,1)/r! |
Ω |
0.55417088800658 |
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 |
10675j1 19215k1 |
Quadratic twists by: -3 5 |