Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cd |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-627577426391040 = -1 · 212 · 32 · 5 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11285,1294365] |
[a1,a2,a3,a4,a6] |
j |
-262144/1035 |
j-invariant |
L |
1.7922939469248 |
L(r)(E,1)/r! |
Ω |
0.44807265046714 |
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 |
7935i1 5520n1 |
Quadratic twists by: -4 -23 |