Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240i |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-3668233889566400000 = -1 · 29 · 55 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147016,-94619020] |
[a1,a2,a3,a4,a6] |
Generators |
[4396:290158:1] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
5.4122728938118 |
L(r)(E,1)/r! |
Ω |
0.10582857258296 |
Real period |
R |
3.6529919274024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86240b1 1760g1 |
Quadratic twists by: -4 -7 |