Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024h |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26523230976 = -1 · 28 · 34 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-964,13616] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:132:1] |
Generators of the group modulo torsion |
j |
-291063152/77841 |
j-invariant |
L |
8.1270590587581 |
L(r)(E,1)/r! |
Ω |
1.1293752891079 |
Real period |
R |
0.89950824334027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90024x2 |
Quadratic twists by: -11 |