Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16380a |
Isogeny class |
Conductor |
16380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2006091360000 = 28 · 39 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91503,-10653498] |
[a1,a2,a3,a4,a6] |
j |
16815061239408/398125 |
j-invariant |
L |
2.1959948910004 |
L(r)(E,1)/r! |
Ω |
0.27449936137505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bu2 16380b2 81900b2 114660j2 |
Quadratic twists by: -4 -3 5 -7 |