Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856o |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6909940224 = 29 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,27430] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:198:1] |
Generators of the group modulo torsion |
j |
1536800264/18513 |
j-invariant |
L |
4.1834757762791 |
L(r)(E,1)/r! |
Ω |
1.3341977980581 |
Real period |
R |
0.78389347185986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856g2 107712dl2 17952r2 |
Quadratic twists by: -4 8 -3 |