Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bo |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3244089273600 = 28 · 3 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8300,-275100] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:102:1] |
Generators of the group modulo torsion |
j |
247041745675216/12672223725 |
j-invariant |
L |
4.4670382211099 |
L(r)(E,1)/r! |
Ω |
0.50177379104218 |
Real period |
R |
0.74187450946635 |
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 |
28560bp2 114240do2 42840p2 71400bd2 |
Quadratic twists by: -4 8 -3 5 |