Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550ee |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
-14232585937500 = -1 · 22 · 37 · 59 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4055,207947] |
[a1,a2,a3,a4,a6] |
j |
-5177717/9996 |
j-invariant |
L |
2.5096521175351 |
L(r)(E,1)/r! |
Ω |
0.62741302952173 |
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 |
17850x1 53550cm1 |
Quadratic twists by: -3 5 |