Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14200a |
Isogeny class |
Conductor |
14200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1733398437500000000 = -1 · 28 · 520 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-641575,207692250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19645:2181744:125] |
Generators of the group modulo torsion |
j |
-7301397935194704/433349609375 |
j-invariant |
L |
4.8855789873682 |
L(r)(E,1)/r! |
Ω |
0.26152649556973 |
Real period |
R |
9.3405048248075 |
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 |
28400d2 113600a2 127800bo2 2840c2 |
Quadratic twists by: -4 8 -3 5 |