Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2256388774695E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2972972,-1026744389] |
[a1,a2,a3,a4,a6] |
Generators |
[-1151:30059:1] |
Generators of the group modulo torsion |
j |
147640239004858760187/62268906034114780 |
j-invariant |
L |
12.188764640866 |
L(r)(E,1)/r! |
Ω |
0.11938944987413 |
Real period |
R |
4.2538531997229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090d2 |
Quadratic twists by: -3 |