Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13806c |
Isogeny class |
Conductor |
13806 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-32386517576244 = -1 · 22 · 37 · 137 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -3 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2097,-271823] |
[a1,a2,a3,a4,a6] |
Generators |
[62:275:1] |
Generators of the group modulo torsion |
j |
1398540265487/44425950036 |
j-invariant |
L |
4.1383694335789 |
L(r)(E,1)/r! |
Ω |
0.31684414965472 |
Real period |
R |
3.2653036501452 |
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 |
110448bf1 4602c1 |
Quadratic twists by: -4 -3 |