Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ba |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163720418627584 = 212 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41236,-3163680] |
[a1,a2,a3,a4,a6] |
j |
392223168/8281 |
j-invariant |
L |
0.67091588763514 |
L(r)(E,1)/r! |
Ω |
0.33545794398711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75712b2 37856o1 5824b2 |
Quadratic twists by: -4 8 13 |