Atkin-Lehner |
2+ 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770k |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
104012442092160000 = 210 · 312 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35834400,82574401536] |
[a1,a2,a3,a4,a6] |
j |
6980661870573827932070401/142678247040000 |
j-invariant |
L |
0.96689497107574 |
L(r)(E,1)/r! |
Ω |
0.24172374266921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590y2 |
Quadratic twists by: -3 |