Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bl |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10028164124160 = 29 · 316 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7040,-166428] |
[a1,a2,a3,a4,a6] |
j |
75376057236488/19586258055 |
j-invariant |
L |
2.1249177839794 |
L(r)(E,1)/r! |
Ω |
0.5312294459929 |
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 |
43680y3 87360by4 |
Quadratic twists by: -4 8 |