Atkin-Lehner |
2- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976p |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12829515776 = 213 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1352,18800] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1320:1] |
Generators of the group modulo torsion |
j |
66775173193/3132206 |
j-invariant |
L |
10.39132111718 |
L(r)(E,1)/r! |
Ω |
1.2480089947504 |
Real period |
R |
2.081579772436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622g2 |
Quadratic twists by: -4 |