Atkin-Lehner |
7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5369c |
Isogeny class |
Conductor |
5369 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-316771 = -1 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
0 2 1 7+ 2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
-16777216/316771 |
j-invariant |
L |
4.6540673766408 |
L(r)(E,1)/r! |
Ω |
1.3164269345542 |
Real period |
R |
1.7676892102702 |
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 |
85904ba1 48321h1 37583b1 69797a1 |
Quadratic twists by: -4 -3 -7 13 |