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 |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-953344 = -1 · 210 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,40] |
[a1,a2,a3,a4,a6] |
j |
442368/931 |
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 |
8512d1 532a1 76608ch1 59584bc1 |
Quadratic twists by: -4 8 -3 -7 |