Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cr |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6584766566400 = 212 · 312 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7428,213248] |
[a1,a2,a3,a4,a6] |
j |
15179306176/2205225 |
j-invariant |
L |
2.8815478079871 |
L(r)(E,1)/r! |
Ω |
0.7203869519965 |
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 |
31680ch2 15840bc1 10560br2 |
Quadratic twists by: -4 8 -3 |