Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bg |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
27726562500 = 22 · 3 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1151,-12802] |
[a1,a2,a3,a4,a6] |
j |
10779215329/1774500 |
j-invariant |
L |
1.6577882228549 |
L(r)(E,1)/r! |
Ω |
0.82889411142746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200de1 40950el1 2730q1 95550q1 |
Quadratic twists by: -4 -3 5 -7 |