Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dr |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21255782400 = -1 · 215 · 33 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,8176] |
[a1,a2,a3,a4,a6] |
j |
-14886936/24025 |
j-invariant |
L |
4.3406970648775 |
L(r)(E,1)/r! |
Ω |
1.0851742480261 |
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 |
89280dn2 44640z2 89280dg2 |
Quadratic twists by: -4 8 -3 |