Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cm |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1479505500000000 = -1 · 28 · 38 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18562,1575492] |
[a1,a2,a3,a4,a6] |
j |
45266459622119/94688352000 |
j-invariant |
L |
5.295482613964 |
L(r)(E,1)/r! |
Ω |
0.3309676632232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13530e1 |
Quadratic twists by: 5 |