Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650bl |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1900002204800000000 = -1 · 213 · 58 · 72 · 594 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -1 -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,186945,58521447] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:6646:1] |
Generators of the group modulo torsion |
j |
1849726070202015/4864005644288 |
j-invariant |
L |
4.9814922973938 |
L(r)(E,1)/r! |
Ω |
0.18437412712715 |
Real period |
R |
0.25979222326018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650e1 |
Quadratic twists by: 5 |