Atkin-Lehner |
2- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9086f |
Isogeny class |
Conductor |
9086 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-5014890496 = -1 · 211 · 73 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11+ 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,383,-1903] |
[a1,a2,a3,a4,a6] |
Generators |
[71:580:1] |
Generators of the group modulo torsion |
j |
6228488375199/5014890496 |
j-invariant |
L |
6.814292986862 |
L(r)(E,1)/r! |
Ω |
0.7576034042008 |
Real period |
R |
0.13628088636457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72688c1 81774bc1 63602p1 99946b1 |
Quadratic twists by: -4 -3 -7 -11 |