Atkin-Lehner |
2- 3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480z |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4267364091494400 = -1 · 216 · 312 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23800,-2815248] |
[a1,a2,a3,a4,a6] |
Generators |
[6589:534950:1] |
Generators of the group modulo torsion |
j |
363979050334199/1041836936400 |
j-invariant |
L |
6.0362933531725 |
L(r)(E,1)/r! |
Ω |
0.22459848788771 |
Real period |
R |
6.7189826292455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310f2 |
Quadratic twists by: -4 |