Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62436h |
Isogeny class |
Conductor |
62436 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
54072822672 = 24 · 310 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 11+ -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1030,5729] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:99:1] [-22:135:1] |
Generators of the group modulo torsion |
j |
5680138496/2539107 |
j-invariant |
L |
8.7213222011649 |
L(r)(E,1)/r! |
Ω |
1.0060048140412 |
Real period |
R |
0.14448774796176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62436g1 |
Quadratic twists by: -11 |