Atkin-Lehner |
3- 11+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26961d |
Isogeny class |
Conductor |
26961 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-4610331 = -1 · 33 · 11 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3- 1 -1 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145,668] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:29:1] |
Generators of the group modulo torsion |
j |
-337298881681/4610331 |
j-invariant |
L |
3.9553491699591 |
L(r)(E,1)/r! |
Ω |
2.4526423122974 |
Real period |
R |
0.26878149265979 |
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 |
80883m1 |
Quadratic twists by: -3 |