Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
71200d |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-89000000000 = -1 · 29 · 59 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 3 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1075,19750] |
[a1,a2,a3,a4,a6] |
Generators |
[45:250:1] |
Generators of the group modulo torsion |
j |
-17173512/11125 |
j-invariant |
L |
3.9333642862881 |
L(r)(E,1)/r! |
Ω |
0.99252420291552 |
Real period |
R |
0.49537385008024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71200l1 14240l1 |
Quadratic twists by: -4 5 |