Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20448c |
Isogeny class |
Conductor |
20448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
26500608 = 29 · 36 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -4 5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,34] |
[a1,a2,a3,a4,a6] |
j |
125000/71 |
j-invariant |
L |
1.8164890851221 |
L(r)(E,1)/r! |
Ω |
1.8164890851221 |
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 |
20448k1 40896k1 2272c1 |
Quadratic twists by: -4 8 -3 |