Atkin-Lehner |
3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097k |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-15059305107 = -1 · 36 · 7 · 112 · 293 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-570,-7893] |
[a1,a2,a3,a4,a6] |
j |
-28094464000/20657483 |
j-invariant |
L |
0.94667436210251 |
L(r)(E,1)/r! |
Ω |
0.47333718105125 |
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 |
2233b1 |
Quadratic twists by: -3 |