Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210m |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-106160879333520 = -1 · 24 · 39 · 5 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92704,10867646] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:4751:1] |
Generators of the group modulo torsion |
j |
-88107402579857023609/106160879333520 |
j-invariant |
L |
4.2244166966695 |
L(r)(E,1)/r! |
Ω |
0.59348581235791 |
Real period |
R |
1.1863290322774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97680be1 36630bq1 61050bl1 |
Quadratic twists by: -4 -3 5 |