Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775n |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-197684296875 = -1 · 37 · 57 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1117,-15481] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-338:1] |
Generators of the group modulo torsion |
j |
9855401984/12651795 |
j-invariant |
L |
4.3170800439634 |
L(r)(E,1)/r! |
Ω |
0.53714850708748 |
Real period |
R |
0.28703687697854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355f1 |
Quadratic twists by: 5 |