Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208dc |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10194598513082368 = -1 · 224 · 73 · 116 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34687,-4161665] |
[a1,a2,a3,a4,a6] |
Generators |
[106:847:1] [337:6776:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
7.0521227218107 |
L(r)(E,1)/r! |
Ω |
0.21121176218944 |
Real period |
R |
2.7824060904205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208m3 13552ba3 448f3 |
Quadratic twists by: -4 8 -11 |