Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952ba |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3509150676159E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14204168,10571307072] |
[a1,a2,a3,a4,a6] |
j |
64122592551794500/27331783704693 |
j-invariant |
L |
2.9976351391447 |
L(r)(E,1)/r! |
Ω |
0.093676098345141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304d2 |
Quadratic twists by: 13 |