Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cg |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-110261250000 = -1 · 24 · 36 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-16659] |
[a1,a2,a3,a4,a6] |
Generators |
[34:33:1] |
Generators of the group modulo torsion |
j |
-14641/80 |
j-invariant |
L |
2.9177547736545 |
L(r)(E,1)/r! |
Ω |
0.43965052378226 |
Real period |
R |
1.6591330020963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050ba1 10890br1 54450fu1 |
Quadratic twists by: -3 5 -11 |