Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360v |
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 |
3.3536968652401 |
L(r)(E,1)/r! |
Ω |
0.83842421686115 |
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 |
87360do2 43680n2 |
Quadratic twists by: -4 8 |