Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4026i |
Isogeny class |
Conductor |
4026 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
5328 |
Modular degree for the optimal curve |
Δ |
-52241891328 = -1 · 218 · 33 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1843,32225] |
[a1,a2,a3,a4,a6] |
j |
-692332063944625/52241891328 |
j-invariant |
L |
3.3065963998848 |
L(r)(E,1)/r! |
Ω |
1.1021987999616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
32208l1 128832f1 12078m1 100650e1 |
Quadratic twists by: -4 8 -3 5 |