Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244g |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
573796065024 = 28 · 33 · 72 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9831,-373410] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:42:1] |
Generators of the group modulo torsion |
j |
15202432051056/83014477 |
j-invariant |
L |
6.0782198973579 |
L(r)(E,1)/r! |
Ω |
0.47961517499887 |
Real period |
R |
1.0560931997099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244e2 |
Quadratic twists by: -3 |