Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680w |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-10319400000000 = -1 · 29 · 34 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4920,-77400] |
[a1,a2,a3,a4,a6] |
j |
25719397179832/20155078125 |
j-invariant |
L |
3.2188254109516 |
L(r)(E,1)/r! |
Ω |
0.40235317636478 |
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 |
43680bt2 87360d3 |
Quadratic twists by: -4 8 |