Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648x |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.1220952914407E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-553035,533669114] |
[a1,a2,a3,a4,a6] |
Generators |
[1030:32508:1] |
Generators of the group modulo torsion |
j |
-6264610702863625/37578744274608 |
j-invariant |
L |
9.1895526062966 |
L(r)(E,1)/r! |
Ω |
0.16175733641716 |
Real period |
R |
3.5506707282962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706u2 39216i2 |
Quadratic twists by: -4 -3 |