Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090o |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2863690401171600 = 24 · 310 · 52 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51885,-3737259] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:711:1] |
Generators of the group modulo torsion |
j |
21189775491153361/3928244720400 |
j-invariant |
L |
4.3683827246379 |
L(r)(E,1)/r! |
Ω |
0.32037864916283 |
Real period |
R |
1.7043827479651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030cc2 |
Quadratic twists by: -3 |