Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13545g |
Isogeny class |
Conductor |
13545 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.9318865124974E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16470158,-23399548144] |
[a1,a2,a3,a4,a6] |
Generators |
[-2130:45952:1] |
Generators of the group modulo torsion |
j |
677781101619292083943321/67652764231789288125 |
j-invariant |
L |
2.8113762590303 |
L(r)(E,1)/r! |
Ω |
0.075423731784935 |
Real period |
R |
3.1062021113889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4515h3 67725p4 94815bf4 |
Quadratic twists by: -3 5 -7 |