Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bb |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
462090606705 = 313 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14625,683640] |
[a1,a2,a3,a4,a6] |
j |
1383586741207/1848015 |
j-invariant |
L |
1.8691712710695 |
L(r)(E,1)/r! |
Ω |
0.9345856355344 |
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 |
9555v1 28665bn1 |
Quadratic twists by: -3 -7 |