Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024ba |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-45234168043097088 = -1 · 210 · 33 · 116 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30936,10026432] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:2904:1] [272:6216:1] |
Generators of the group modulo torsion |
j |
1804870652/24935067 |
j-invariant |
L |
12.1228278825 |
L(r)(E,1)/r! |
Ω |
0.26630446587173 |
Real period |
R |
7.587072590648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
744b4 |
Quadratic twists by: -11 |