Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1288i |
Isogeny class |
Conductor |
1288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
8078336 = 210 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2632,52860] |
[a1,a2,a3,a4,a6] |
j |
1969910093092/7889 |
j-invariant |
L |
3.0767170335955 |
L(r)(E,1)/r! |
Ω |
2.0511446890637 |
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 |
2576c1 10304p1 11592e1 32200b1 |
Quadratic twists by: -4 8 -3 5 |