Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bf |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5769465982798518000 = 24 · 38 · 53 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-465701355,-3868087541675] |
[a1,a2,a3,a4,a6] |
Generators |
[33551:4257995:1] |
Generators of the group modulo torsion |
j |
15322113990427033386386178481/7914219455142000 |
j-invariant |
L |
5.010205119688 |
L(r)(E,1)/r! |
Ω |
0.032499200653883 |
Real period |
R |
4.8176234064906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bg4 |
Quadratic twists by: -3 |