Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360do |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4696473600 = -1 · 215 · 32 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415,-417] |
[a1,a2,a3,a4,a6] |
j |
240641848/143325 |
j-invariant |
L |
3.2070633807806 |
L(r)(E,1)/r! |
Ω |
0.80176585579144 |
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 |
87360v2 43680bi2 |
Quadratic twists by: -4 8 |