Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400dh |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-507840000000 = -1 · 212 · 3 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1033,-36937] |
[a1,a2,a3,a4,a6] |
j |
-1906624/7935 |
j-invariant |
L |
3.0678278976078 |
L(r)(E,1)/r! |
Ω |
0.38347854792907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400bn1 55200d1 22080l1 |
Quadratic twists by: -4 8 5 |