Atkin-Lehner |
2+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5434g |
Isogeny class |
Conductor |
5434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-69288287354 = -1 · 2 · 112 · 133 · 194 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 11- 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1393,23111] |
[a1,a2,a3,a4,a6] |
Generators |
[31:89:1] |
Generators of the group modulo torsion |
j |
-299270638153369/69288287354 |
j-invariant |
L |
1.8270410690358 |
L(r)(E,1)/r! |
Ω |
1.0469762792386 |
Real period |
R |
0.21813305435685 |
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 |
43472i1 48906bh1 59774r1 70642h1 |
Quadratic twists by: -4 -3 -11 13 |