Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bo |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8089755357816 = -1 · 23 · 39 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158654,24363397] |
[a1,a2,a3,a4,a6] |
Generators |
[91:3221:1] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
7.2669211891893 |
L(r)(E,1)/r! |
Ω |
0.6782707319122 |
Real period |
R |
0.8928245570273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162m1 522c2 |
Quadratic twists by: -3 -11 |