Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340i |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1707106590000 = -1 · 24 · 310 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4548,-133747] |
[a1,a2,a3,a4,a6] |
j |
-891943960576/146356875 |
j-invariant |
L |
1.152349309433 |
L(r)(E,1)/r! |
Ω |
0.28808733486584 |
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 |
24780e1 |
Quadratic twists by: -3 |