Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470u |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
14705019236600 = 23 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1770656,-907026680] |
[a1,a2,a3,a4,a6] |
Generators |
[7974:697450:1] |
Generators of the group modulo torsion |
j |
346553430870203929/8300600 |
j-invariant |
L |
3.9396775560964 |
L(r)(E,1)/r! |
Ω |
0.13087780575325 |
Real period |
R |
5.0169921648442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760bs2 76230bt2 42350ba2 59290eo2 |
Quadratic twists by: -4 -3 5 -7 |