Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058n |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
304701815122176 = 28 · 3 · 23 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39545,-2911204] |
[a1,a2,a3,a4,a6] |
Generators |
[-18644006282901636:54348757852897672:183473132713767] |
Generators of the group modulo torsion |
j |
11497268593/512256 |
j-invariant |
L |
9.0315355807768 |
L(r)(E,1)/r! |
Ω |
0.33948701632661 |
Real period |
R |
26.603478568568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002l1 |
Quadratic twists by: 29 |