Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cb |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
65741285610000 = 24 · 38 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128709,17800965] |
[a1,a2,a3,a4,a6] |
Generators |
[246:-1113:1] |
Generators of the group modulo torsion |
j |
323463163797376849/90180090000 |
j-invariant |
L |
6.0204762021885 |
L(r)(E,1)/r! |
Ω |
0.60546360461169 |
Real period |
R |
0.62147379286551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995661 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030bs2 |
Quadratic twists by: -3 |