Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280by |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5997600000 = 28 · 32 · 55 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283340,57956688] |
[a1,a2,a3,a4,a6] |
Generators |
[286:630:1] |
Generators of the group modulo torsion |
j |
9826728297992948176/23428125 |
j-invariant |
L |
6.3742559860861 |
L(r)(E,1)/r! |
Ω |
0.8813821178758 |
Real period |
R |
0.36160570181799 |
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 |
28560bb2 114240n2 42840j2 71400f2 |
Quadratic twists by: -4 8 -3 5 |