Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600db |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-3246391296000000000 = -1 · 232 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,266592,-68524812] |
[a1,a2,a3,a4,a6] |
j |
32740359775271/50724864000 |
j-invariant |
L |
4.256653050777 |
L(r)(E,1)/r! |
Ω |
0.13302040782855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450t1 10320o1 |
Quadratic twists by: -4 5 |