Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14070k |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
270655136718750 = 2 · 32 · 510 · 73 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28566,1678950] |
[a1,a2,a3,a4,a6] |
Generators |
[7956:10725:64] |
Generators of the group modulo torsion |
j |
2577940906463219809/270655136718750 |
j-invariant |
L |
7.5625019213788 |
L(r)(E,1)/r! |
Ω |
0.53416163830091 |
Real period |
R |
7.0788515864169 |
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 |
112560bn2 42210l2 70350j2 98490bm2 |
Quadratic twists by: -4 -3 5 -7 |