Atkin-Lehner |
2+ 3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090s |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3878509562100 = 22 · 316 · 52 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-172764,-27596052] |
[a1,a2,a3,a4,a6] |
Generators |
[21414:1082793:8] |
Generators of the group modulo torsion |
j |
782271214972820929/5320314900 |
j-invariant |
L |
5.1698613890187 |
L(r)(E,1)/r! |
Ω |
0.23417272050375 |
Real period |
R |
5.5192822820087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030o2 |
Quadratic twists by: -3 |