Atkin-Lehner |
2+ 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bp |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1826146822500 = 22 · 36 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4884,115388] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-326:1] [-68:394:1] |
Generators of the group modulo torsion |
j |
17675559395649/2505002500 |
j-invariant |
L |
8.7759692729183 |
L(r)(E,1)/r! |
Ω |
0.80235553945028 |
Real period |
R |
0.68360976224694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999319 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010m2 |
Quadratic twists by: -3 |