Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360t |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-218050560 = -1 · 212 · 32 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,135,-423] |
[a1,a2,a3,a4,a6] |
j |
65939264/53235 |
j-invariant |
L |
1.9670820422399 |
L(r)(E,1)/r! |
Ω |
0.98354099619503 |
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 |
87360di2 43680bx1 |
Quadratic twists by: -4 8 |