Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13860m |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-15880604992560 = -1 · 24 · 314 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2472,-185803] |
[a1,a2,a3,a4,a6] |
j |
143225913344/1361505915 |
j-invariant |
L |
2.0676401527518 |
L(r)(E,1)/r! |
Ω |
0.34460669212531 |
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 |
55440dd1 4620f1 69300z1 97020cm1 |
Quadratic twists by: -4 -3 5 -7 |