Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ci |
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] |
Generators |
[360:4712:1] |
Generators of the group modulo torsion |
j |
5953360210624/1081125 |
j-invariant |
L |
7.1165429060434 |
L(r)(E,1)/r! |
Ω |
0.31265145939031 |
Real period |
R |
3.7936508824833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cr2 44640bj1 29760w2 |
Quadratic twists by: -4 8 -3 |