Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090o |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2559663685198620 = 22 · 38 · 5 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-788985,-269535519] |
[a1,a2,a3,a4,a6] |
Generators |
[-513:360:1] |
Generators of the group modulo torsion |
j |
74507970369217890961/3511198470780 |
j-invariant |
L |
4.3683827246379 |
L(r)(E,1)/r! |
Ω |
0.16018932458141 |
Real period |
R |
3.4087654959303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999863033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030cc4 |
Quadratic twists by: -3 |