Atkin-Lehner |
2+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8512b |
Isogeny class |
Conductor |
8512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
41402368 = 214 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,432] |
[a1,a2,a3,a4,a6] |
j |
12869712/2527 |
j-invariant |
L |
1.931216956653 |
L(r)(E,1)/r! |
Ω |
1.931216956653 |
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 |
8512d2 532a2 76608ch2 59584bc2 |
Quadratic twists by: -4 8 -3 -7 |