Atkin-Lehner |
3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325a |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-3200923540353515625 = -1 · 39 · 59 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 11+ 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86442,-86611159] |
[a1,a2,a3,a4,a6] |
Generators |
[66838690:1263259489:97336] |
Generators of the group modulo torsion |
j |
-232268138523/10407920875 |
j-invariant |
L |
8.2266240130594 |
L(r)(E,1)/r! |
Ω |
0.11032013555863 |
Real period |
R |
9.3213083713755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325h1 23265a1 |
Quadratic twists by: -3 5 |