Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bh |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65018853900 = 22 · 310 · 52 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17379,-877415] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:47:1] |
Generators of the group modulo torsion |
j |
796314438078769/89189100 |
j-invariant |
L |
4.5607873557549 |
L(r)(E,1)/r! |
Ω |
0.41581016904203 |
Real period |
R |
1.3710545389518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030ba2 |
Quadratic twists by: -3 |