Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552t |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
368967232871424 = 210 · 38 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17931,3350] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:540:1] [-13:484:1] |
Generators of the group modulo torsion |
j |
854102039332/494265519 |
j-invariant |
L |
6.9207906308501 |
L(r)(E,1)/r! |
Ω |
0.45339747155851 |
Real period |
R |
1.2720241923458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104q2 8184a2 |
Quadratic twists by: -4 -3 |