Atkin-Lehner |
3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24309f |
Isogeny class |
Conductor |
24309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
3136128954144633 = 322 · 372 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38421,-1059480] |
[a1,a2,a3,a4,a6] |
j |
8604161129276497/4301960156577 |
j-invariant |
L |
2.8735140997626 |
L(r)(E,1)/r! |
Ω |
0.35918926247032 |
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 |
8103e1 |
Quadratic twists by: -3 |