Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860c |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2142880185600 = -1 · 28 · 33 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6543,215542] |
[a1,a2,a3,a4,a6] |
j |
-4481782160112/310023175 |
j-invariant |
L |
1.6204033863258 |
L(r)(E,1)/r! |
Ω |
0.8102016931629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440bu2 13860f4 69300e2 97020y2 |
Quadratic twists by: -4 -3 5 -7 |