Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158v |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-9323600904 = -1 · 23 · 313 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -5 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1841,31209] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:252:1] |
Generators of the group modulo torsion |
j |
-946098541513/12789576 |
j-invariant |
L |
7.9070292229633 |
L(r)(E,1)/r! |
Ω |
1.3006909725028 |
Real period |
R |
0.50659158542918 |
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 |
105264bs1 4386c1 |
Quadratic twists by: -4 -3 |