Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162j |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.5493705016139E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72078,-470200780] |
[a1,a2,a3,a4,a6] |
Generators |
[7438:126719:8] |
Generators of the group modulo torsion |
j |
-1187648379/2738592032 |
j-invariant |
L |
3.5066938793203 |
L(r)(E,1)/r! |
Ω |
0.086030090550125 |
Real period |
R |
5.095156033416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bl2 5742s2 |
Quadratic twists by: -3 -11 |