Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ba |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14393003835392 = 215 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-656396,-204690096] |
[a1,a2,a3,a4,a6] |
j |
197747699976/91 |
j-invariant |
L |
0.67091588763514 |
L(r)(E,1)/r! |
Ω |
0.16772897199356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712b4 37856o4 5824b3 |
Quadratic twists by: -4 8 13 |