Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862x |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2202285861161587764 = -1 · 22 · 312 · 198 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2260418,1310582805] |
[a1,a2,a3,a4,a6] |
Generators |
[585:13425:1] |
Generators of the group modulo torsion |
j |
-1752113656408136523481/3020968259480916 |
j-invariant |
L |
6.0666544849068 |
L(r)(E,1)/r! |
Ω |
0.26005501306461 |
Real period |
R |
0.72901095202589 |
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 |
6954c1 |
Quadratic twists by: -3 |