Atkin-Lehner |
2+ 3- 5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090m |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
43564511839500 = 22 · 39 · 53 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34344054,-77459968872] |
[a1,a2,a3,a4,a6] |
Generators |
[8827:549744:1] |
Generators of the group modulo torsion |
j |
6145410044061093355721569/59759275500 |
j-invariant |
L |
4.1189371498108 |
L(r)(E,1)/r! |
Ω |
0.06236438795161 |
Real period |
R |
5.503858433758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030t4 |
Quadratic twists by: -3 |