Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090o |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
257006442240000 = 211 · 39 · 54 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293492,61267159] |
[a1,a2,a3,a4,a6] |
Generators |
[437:-4259:1] |
Generators of the group modulo torsion |
j |
142042999823341947/13057280000 |
j-invariant |
L |
6.6469052766908 |
L(r)(E,1)/r! |
Ω |
0.52892953748962 |
Real period |
R |
0.28560709566852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72720bd2 9090b2 45450c2 |
Quadratic twists by: -4 -3 5 |