Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304l |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18016673968128 = 212 · 3 · 112 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6577,19007] |
[a1,a2,a3,a4,a6] |
Generators |
[-231063:3798080:9261] |
Generators of the group modulo torsion |
j |
7682690191168/4398602043 |
j-invariant |
L |
10.32257452397 |
L(r)(E,1)/r! |
Ω |
0.5907123442904 |
Real period |
R |
8.7373953019389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304t3 124608j1 |
Quadratic twists by: -4 8 |