Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860c |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
50945075874000 = 24 · 39 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9288,27837] |
[a1,a2,a3,a4,a6] |
j |
281370820608/161767375 |
j-invariant |
L |
1.6204033863258 |
L(r)(E,1)/r! |
Ω |
0.5401344621086 |
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 |
55440bu3 13860f1 69300e3 97020y3 |
Quadratic twists by: -4 -3 5 -7 |