Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4232c |
Isogeny class |
Conductor |
4232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-54477207152 = -1 · 24 · 237 |
Discriminant |
Eigenvalues |
2+ -1 2 4 2 7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2292,-42947] |
[a1,a2,a3,a4,a6] |
j |
-562432/23 |
j-invariant |
L |
2.7532843318319 |
L(r)(E,1)/r! |
Ω |
0.34416054147899 |
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 |
8464d1 33856i1 38088ba1 105800y1 |
Quadratic twists by: -4 8 -3 5 |