Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bd |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
390797305810255872 = 230 · 39 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1473195,-687580198] |
[a1,a2,a3,a4,a6] |
j |
118417788018699625/130877227008 |
j-invariant |
L |
1.0963602963782 |
L(r)(E,1)/r! |
Ω |
0.1370450378492 |
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 |
8118q1 21648r1 |
Quadratic twists by: -4 -3 |