Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
24400f |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1220000000 = 28 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,-47488] |
[a1,a2,a3,a4,a6] |
j |
436334416/305 |
j-invariant |
L |
5.3971122637683 |
L(r)(E,1)/r! |
Ω |
0.67463903297103 |
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 |
12200b1 97600bz1 4880d1 |
Quadratic twists by: -4 8 5 |