Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cc |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
31818782235240000 = 26 · 38 · 54 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157914,22616820] |
[a1,a2,a3,a4,a6] |
Generators |
[411:-5403:1] |
Generators of the group modulo torsion |
j |
597392318775335329/43647163560000 |
j-invariant |
L |
4.8813480451558 |
L(r)(E,1)/r! |
Ω |
0.36251874880446 |
Real period |
R |
0.42078410218455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011169 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030br2 |
Quadratic twists by: -3 |