Atkin-Lehner |
5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975w |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-169873046875 = -1 · 511 · 72 · 71 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- 4 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-758,21144] |
[a1,a2,a3,a4,a6] |
Generators |
[48:312:1] |
Generators of the group modulo torsion |
j |
-62992384/221875 |
j-invariant |
L |
1.9088413625201 |
L(r)(E,1)/r! |
Ω |
0.89130802682239 |
Real period |
R |
0.53540451467828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395n1 86975b1 |
Quadratic twists by: 5 -7 |