Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cn |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1213685272800 = 25 · 39 · 52 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1497557,705754189] |
[a1,a2,a3,a4,a6] |
Generators |
[187:20696:1] |
Generators of the group modulo torsion |
j |
18870448931641092267/61661600 |
j-invariant |
L |
12.222539380764 |
L(r)(E,1)/r! |
Ω |
0.57444648456056 |
Real period |
R |
1.0638536149077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090e2 |
Quadratic twists by: -3 |