Atkin-Lehner |
3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74589c |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
116659534290561 = 36 · 237 · 47 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16674,-652545] |
[a1,a2,a3,a4,a6] |
j |
3463512697/788049 |
j-invariant |
L |
0.85398573478197 |
L(r)(E,1)/r! |
Ω |
0.42699287610791 |
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 |
3243b1 |
Quadratic twists by: -23 |