Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13860n |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1.1694500752889E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,55392,164454932] |
[a1,a2,a3,a4,a6] |
j |
100715742101504/62663434246875 |
j-invariant |
L |
2.1156524815601 |
L(r)(E,1)/r! |
Ω |
0.17630437346334 |
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 |
55440de1 4620g1 69300bc1 97020cp1 |
Quadratic twists by: -4 -3 5 -7 |