Atkin-Lehner |
2- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13286g |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7504 |
Modular degree for the optimal curve |
Δ |
1563084614 = 2 · 77 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -1 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-620,5578] |
[a1,a2,a3,a4,a6] |
j |
26359827238081/1563084614 |
j-invariant |
L |
1.4805271634061 |
L(r)(E,1)/r! |
Ω |
1.4805271634061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106288o1 119574d1 93002v1 |
Quadratic twists by: -4 -3 -7 |