Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160r |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1203033600000000 = 215 · 33 · 58 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64162000,197839000000] |
[a1,a2,a3,a4,a6] |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
0.52332724554463 |
L(r)(E,1)/r! |
Ω |
0.26166362277231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1770h5 56640cm6 42480bf6 70800cm6 |
Quadratic twists by: -4 8 -3 5 |