Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27040f |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64896 |
Modular degree for the optimal curve |
Δ |
3393439799360 = 26 · 5 · 139 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,-108304] |
[a1,a2,a3,a4,a6] |
j |
21952/5 |
j-invariant |
L |
5.160998752819 |
L(r)(E,1)/r! |
Ω |
0.57344430586885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27040g1 54080dl1 27040w1 |
Quadratic twists by: -4 8 13 |