Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
54315c |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.3570174969549E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 -6 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1818768,2008121733] |
[a1,a2,a3,a4,a6] |
Generators |
[722931776:35136892831:262144] |
Generators of the group modulo torsion |
j |
-912700098188186484736/1861478047949086395 |
j-invariant |
L |
4.605350206165 |
L(r)(E,1)/r! |
Ω |
0.13547805199986 |
Real period |
R |
12.747498962563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18105j2 |
Quadratic twists by: -3 |