Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400id |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1170063360000000 = -1 · 220 · 33 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20033,1968063] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1725:1] |
Generators of the group modulo torsion |
j |
-217081801/285660 |
j-invariant |
L |
11.421226286216 |
L(r)(E,1)/r! |
Ω |
0.43984772743389 |
Real period |
R |
1.081929948834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400bm1 27600bn1 22080bz1 |
Quadratic twists by: -4 8 5 |