Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5434i |
Isogeny class |
Conductor |
5434 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-17867339776 = -1 · 211 · 11 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 1 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10597,422557] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1888:1] |
Generators of the group modulo torsion |
j |
-131593395518018721/17867339776 |
j-invariant |
L |
5.9848487653829 |
L(r)(E,1)/r! |
Ω |
1.1841866041973 |
Real period |
R |
0.076575369478778 |
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 |
43472m1 48906m1 59774b1 70642a1 |
Quadratic twists by: -4 -3 -11 13 |