Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960s |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
32575784550400 = 216 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67963,-6814038] |
[a1,a2,a3,a4,a6] |
Generators |
[431:6630:1] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
4.2406775571359 |
L(r)(E,1)/r! |
Ω |
0.29570310479624 |
Real period |
R |
3.5852494345678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6370l2 1040f2 |
Quadratic twists by: -4 -7 |