Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40480g |
Isogeny class |
Conductor |
40480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-9310400000 = -1 · 29 · 55 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 11- 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,-3334] |
[a1,a2,a3,a4,a6] |
j |
15216119352/18184375 |
j-invariant |
L |
6.9618796406724 |
L(r)(E,1)/r! |
Ω |
0.69618796407854 |
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 |
40480b1 80960bn1 |
Quadratic twists by: -4 8 |