Atkin-Lehner |
7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5369a |
Isogeny class |
Conductor |
5369 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-15521779 = -1 · 73 · 13 · 592 |
Discriminant |
Eigenvalues |
0 0 -1 7+ -6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68,287] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [11:29:1] |
Generators of the group modulo torsion |
j |
-34773663744/15521779 |
j-invariant |
L |
3.917372769079 |
L(r)(E,1)/r! |
Ω |
2.0666325267408 |
Real period |
R |
0.9477671328577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904bb1 48321j1 37583c1 69797b1 |
Quadratic twists by: -4 -3 -7 13 |