Atkin-Lehner |
2+ 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608b |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
17441132544 = 212 · 38 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-649,649] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
7392083392/4258089 |
j-invariant |
L |
5.4100718677289 |
L(r)(E,1)/r! |
Ω |
1.0485129142771 |
Real period |
R |
2.5798785569702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998137345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bv1 62304n1 |
Quadratic twists by: -4 8 |