Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280k |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
177342054400 = 216 · 52 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572,45936] |
[a1,a2,a3,a4,a6] |
Generators |
[40:84:1] |
Generators of the group modulo torsion |
j |
28711552356/2706025 |
j-invariant |
L |
5.9677743959067 |
L(r)(E,1)/r! |
Ω |
0.98698921473828 |
Real period |
R |
3.0232216720799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046408 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105280bf2 13160d2 |
Quadratic twists by: -4 8 |