Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26700c |
Isogeny class |
Conductor |
26700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11160 |
Modular degree for the optimal curve |
Δ |
-1668750000 = -1 · 24 · 3 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,-1838] |
[a1,a2,a3,a4,a6] |
Generators |
[17:75:1] |
Generators of the group modulo torsion |
j |
81920/267 |
j-invariant |
L |
4.5651481989062 |
L(r)(E,1)/r! |
Ω |
0.76415530622483 |
Real period |
R |
0.66379004979142 |
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 |
106800cc1 80100v1 26700f1 |
Quadratic twists by: -4 -3 5 |