Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544s |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
17563892318208 = 220 · 39 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9963,-325350] |
[a1,a2,a3,a4,a6] |
Generators |
[-307180:194689:8000] |
Generators of the group modulo torsion |
j |
1356572043/217856 |
j-invariant |
L |
9.9545757858025 |
L(r)(E,1)/r! |
Ω |
0.48304976077428 |
Real period |
R |
10.303882314589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15318h1 122544o1 |
Quadratic twists by: -4 -3 |