Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15800b |
Isogeny class |
Conductor |
15800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
1264000000 = 210 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 4 -1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,2812] |
[a1,a2,a3,a4,a6] |
j |
470596/79 |
j-invariant |
L |
2.9239170125005 |
L(r)(E,1)/r! |
Ω |
1.4619585062502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31600b1 126400u1 632a1 |
Quadratic twists by: -4 8 5 |