Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1400j |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-140000000 = -1 · 28 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,563] |
[a1,a2,a3,a4,a6] |
Generators |
[13:50:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
3.0380330159698 |
L(r)(E,1)/r! |
Ω |
1.5334543984115 |
Real period |
R |
0.24764618197295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2800c1 11200v1 12600w1 280a1 |
Quadratic twists by: -4 8 -3 5 |