Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280x |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
6052916160000000000 = 215 · 39 · 510 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-994572,-362956464] |
[a1,a2,a3,a4,a6] |
Generators |
[-603:4185:1] |
Generators of the group modulo torsion |
j |
168690711527064/9384765625 |
j-invariant |
L |
4.8278824642402 |
L(r)(E,1)/r! |
Ω |
0.15170297541889 |
Real period |
R |
1.5912286622331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280q2 44640bb2 89280l2 |
Quadratic twists by: -4 8 -3 |