Atkin-Lehner |
2- 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826bg |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-123157633248 = -1 · 25 · 39 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2966,65157] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:311:1] [-25:363:1] |
Generators of the group modulo torsion |
j |
-3957057343513/168940512 |
j-invariant |
L |
9.0051780690592 |
L(r)(E,1)/r! |
Ω |
1.0365712184983 |
Real period |
R |
0.14479111369546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942b1 |
Quadratic twists by: -3 |