Atkin-Lehner |
2- 3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cm |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61935424804687500 = 22 · 32 · 518 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2172938,1232635992] |
[a1,a2,a3,a4,a6] |
j |
72618237355871464921/3963867187500 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530e4 |
Quadratic twists by: 5 |