Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26700h |
Isogeny class |
Conductor |
26700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-15379200 = -1 · 28 · 33 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213,1143] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
-167772160/2403 |
j-invariant |
L |
5.4415950467156 |
L(r)(E,1)/r! |
Ω |
2.217751641921 |
Real period |
R |
0.27262821518354 |
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 |
106800bd1 80100t1 26700d1 |
Quadratic twists by: -4 -3 5 |