Atkin-Lehner |
2- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74008f |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-170451961766679296 = -1 · 28 · 113 · 298 |
Discriminant |
Eigenvalues |
2- 1 -3 -4 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115497,24917771] |
[a1,a2,a3,a4,a6] |
j |
-1118952448/1119371 |
j-invariant |
L |
1.1721963843198 |
L(r)(E,1)/r! |
Ω |
0.29304909543809 |
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 |
2552a1 |
Quadratic twists by: 29 |