Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248u |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-868861108677632 = -1 · 210 · 77 · 1013 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -6 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456141,118736653] |
[a1,a2,a3,a4,a6] |
j |
-10249956884819716096/848497176443 |
j-invariant |
L |
0.9535650218858 |
L(r)(E,1)/r! |
Ω |
0.47678251123306 |
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 |
45248k1 11312d1 |
Quadratic twists by: -4 8 |