Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860l |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-884094750000 = -1 · 24 · 38 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-45043] |
[a1,a2,a3,a4,a6] |
j |
1129201664/75796875 |
j-invariant |
L |
1.6923129442324 |
L(r)(E,1)/r! |
Ω |
0.42307823605811 |
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 |
55440dm1 4620d1 69300ce1 97020cz1 |
Quadratic twists by: -4 -3 5 -7 |