Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550bp |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-774198000000 = -1 · 27 · 38 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1130,-44503] |
[a1,a2,a3,a4,a6] |
Generators |
[69:415:1] |
Generators of the group modulo torsion |
j |
-13997521/67968 |
j-invariant |
L |
8.8630809494316 |
L(r)(E,1)/r! |
Ω |
0.37225776244094 |
Real period |
R |
0.85032103363342 |
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 |
8850m1 1062b1 |
Quadratic twists by: -3 5 |