Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280cr |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3228221952000 = 212 · 38 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54372,4879136] |
[a1,a2,a3,a4,a6] |
j |
5953360210624/1081125 |
j-invariant |
L |
4.6340504048275 |
L(r)(E,1)/r! |
Ω |
0.77234172599707 |
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 |
89280ci2 44640p1 29760i2 |
Quadratic twists by: -4 8 -3 |