Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bn |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2.0117245887268E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25024070204,1523657716243068] |
[a1,a2,a3,a4,a6] |
j |
6769515643275996112942207501062352/7858299174714156486087 |
j-invariant |
L |
0.52502097901874 |
L(r)(E,1)/r! |
Ω |
0.05250209640891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252k2 |
Quadratic twists by: -4 |