Atkin-Lehner |
5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13975c |
Isogeny class |
Conductor |
13975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-80749296875 = -1 · 57 · 13 · 433 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 2 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,100,-13625] |
[a1,a2,a3,a4,a6] |
Generators |
[26:73:1] |
Generators of the group modulo torsion |
j |
6967871/5167955 |
j-invariant |
L |
3.8634411804947 |
L(r)(E,1)/r! |
Ω |
0.50552392221027 |
Real period |
R |
1.273741627499 |
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 |
125775z1 2795a1 |
Quadratic twists by: -3 5 |