Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300f |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
139859200 = 28 · 52 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6773,-212303] |
[a1,a2,a3,a4,a6] |
j |
5369713131520/21853 |
j-invariant |
L |
3.1575504554398 |
L(r)(E,1)/r! |
Ω |
0.52625840909648 |
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 |
53300j1 |
Quadratic twists by: 5 |