Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600f |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-25000000 = -1 · 26 · 58 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,238] |
[a1,a2,a3,a4,a6] |
Generators |
[13:50:1] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
2.1810479905123 |
L(r)(E,1)/r! |
Ω |
1.7239807259965 |
Real period |
R |
1.2651231870656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1600e1 800g2 14400bd1 320d1 |
Quadratic twists by: -4 8 -3 5 |