Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45177n |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
65416727033757 = 36 · 116 · 373 |
Discriminant |
Eigenvalues |
-1 3- -4 0 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-142830,20761191] |
[a1,a2,a3,a4,a6] |
Generators |
[246:-849:1] [-117:6048:1] |
Generators of the group modulo torsion |
j |
6361756446348757/1291467969 |
j-invariant |
L |
5.5922250990606 |
L(r)(E,1)/r! |
Ω |
0.60230918356839 |
Real period |
R |
0.51581344041531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45177m2 |
Quadratic twists by: 37 |