Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ch |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-285403500000000 = -1 · 28 · 39 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-812500] |
[a1,a2,a3,a4,a6] |
j |
1024/783 |
j-invariant |
L |
2.0467329633842 |
L(r)(E,1)/r! |
Ω |
0.25584164356463 |
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 |
52200ck1 34800n1 104400ce1 |
Quadratic twists by: -4 -3 5 |