Atkin-Lehner |
2- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
26128b |
Isogeny class |
Conductor |
26128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-53510144 = -1 · 215 · 23 · 71 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 4 3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136,752] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-16:1] |
Generators of the group modulo torsion |
j |
-68417929/13064 |
j-invariant |
L |
3.3792460695913 |
L(r)(E,1)/r! |
Ω |
1.9128040040239 |
Real period |
R |
0.44166130749444 |
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 |
3266c1 104512g1 |
Quadratic twists by: -4 8 |