Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160i |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-6006960000000 = -1 · 210 · 36 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2286723,1330970578] |
[a1,a2,a3,a4,a6] |
Generators |
[873:-4:1] [861:616:1] |
Generators of the group modulo torsion |
j |
-1771482665596654084/8046875 |
j-invariant |
L |
9.8854333314075 |
L(r)(E,1)/r! |
Ω |
0.51032729841825 |
Real period |
R |
4.8426927983094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080p1 8240c1 |
Quadratic twists by: -4 -3 |