Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
14240h |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5696000000 = -1 · 212 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,308,2976] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:45:1] [2:60:1] |
Generators of the group modulo torsion |
j |
788889024/1390625 |
j-invariant |
L |
6.2906359299405 |
L(r)(E,1)/r! |
Ω |
0.92655724353161 |
Real period |
R |
1.1315429553609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14240n2 28480b1 128160be2 71200j2 |
Quadratic twists by: -4 8 -3 5 |