Atkin-Lehner |
3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26145h |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-158830875 = -1 · 37 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 2 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1398,20128] |
[a1,a2,a3,a4,a6] |
Generators |
[22:4:1] |
Generators of the group modulo torsion |
j |
-414493474816/217875 |
j-invariant |
L |
4.5550102373844 |
L(r)(E,1)/r! |
Ω |
1.796671079248 |
Real period |
R |
0.63381248382018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8715f1 |
Quadratic twists by: -3 |