Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680a |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-153086960 = -1 · 24 · 5 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 2 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64,-541] |
[a1,a2,a3,a4,a6] |
j |
1783774976/9567935 |
j-invariant |
L |
1.8333931998865 |
L(r)(E,1)/r! |
Ω |
0.91669659372359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34840a1 |
Quadratic twists by: -4 |