Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280bq |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
359280360000 = 26 · 38 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16653,-826652] |
[a1,a2,a3,a4,a6] |
j |
10946963145664/7700625 |
j-invariant |
L |
3.3622868321208 |
L(r)(E,1)/r! |
Ω |
0.42028585381912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53280o1 106560cx2 17760r1 |
Quadratic twists by: -4 8 -3 |