Atkin-Lehner |
2+ 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682l |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-312875348649836544 = -1 · 222 · 38 · 11 · 13 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11+ 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8427870,-9415198188] |
[a1,a2,a3,a4,a6] |
Generators |
[3468:53562:1] |
Generators of the group modulo torsion |
j |
-90813350035356892938721/429184291700736 |
j-invariant |
L |
3.2805948161342 |
L(r)(E,1)/r! |
Ω |
0.04430369784161 |
Real period |
R |
3.0853282468038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894bc1 |
Quadratic twists by: -3 |