Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bc |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-506944000000 = -1 · 212 · 56 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1392,-28288] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:25899:8] |
Generators of the group modulo torsion |
j |
4657463/7921 |
j-invariant |
L |
9.0155266117928 |
L(r)(E,1)/r! |
Ω |
0.48855713640015 |
Real period |
R |
4.6133430156303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2225b2 1424f2 |
Quadratic twists by: -4 5 |