Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400j |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
-3724440564672000000 = -1 · 212 · 314 · 56 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,259767,77531337] |
[a1,a2,a3,a4,a6] |
Generators |
[6605:1195056:125] |
Generators of the group modulo torsion |
j |
30289632400448/58194383823 |
j-invariant |
L |
6.0093745066902 |
L(r)(E,1)/r! |
Ω |
0.17154265588862 |
Real period |
R |
8.7578428796977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dz1 55200x1 4416m1 |
Quadratic twists by: -4 8 5 |