Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680ba |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-505650600000000 = -1 · 29 · 34 · 58 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1024,1081476] |
[a1,a2,a3,a4,a6] |
j |
231701815288/987598828125 |
j-invariant |
L |
1.6441568506079 |
L(r)(E,1)/r! |
Ω |
0.41103921265273 |
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 |
43680r2 87360dh3 |
Quadratic twists by: -4 8 |