Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350dd |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
-1.310083531988E+20 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-160388,-551258608] |
[a1,a2,a3,a4,a6] |
Generators |
[1088:23172:1] |
Generators of the group modulo torsion |
j |
-659361145/189314048 |
j-invariant |
L |
10.502281542044 |
L(r)(E,1)/r! |
Ω |
0.082752505866265 |
Real period |
R |
0.63455972916504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350k1 3850k2 |
Quadratic twists by: 5 -11 |