Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cc |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
2465900236800 = 212 · 37 · 52 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155034,23534388] |
[a1,a2,a3,a4,a6] |
Generators |
[237:-366:1] |
Generators of the group modulo torsion |
j |
565299519728838049/3382579200 |
j-invariant |
L |
4.8813480451558 |
L(r)(E,1)/r! |
Ω |
0.72503749760892 |
Real period |
R |
0.8415682043691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030br1 |
Quadratic twists by: -3 |