Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680b |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
195686400 = 212 · 3 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,465] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:28:1] |
Generators of the group modulo torsion |
j |
113379904/47775 |
j-invariant |
L |
4.9521964826082 |
L(r)(E,1)/r! |
Ω |
1.6170028234269 |
Real period |
R |
0.76564437780525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bx2 87360di1 |
Quadratic twists by: -4 8 |