Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712z |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4428616564736 = 217 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202124,34976240] |
[a1,a2,a3,a4,a6] |
j |
1443468546/7 |
j-invariant |
L |
1.3721042726763 |
L(r)(E,1)/r! |
Ω |
0.68605214148092 |
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 |
75712bs4 9464d4 448a4 |
Quadratic twists by: -4 8 13 |