Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cj |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-330050253208499712 = -1 · 29 · 37 · 77 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41665,-27456537] |
[a1,a2,a3,a4,a6] |
Generators |
[3971:248502:1] |
Generators of the group modulo torsion |
j |
93267830375/3848259072 |
j-invariant |
L |
9.1262331451448 |
L(r)(E,1)/r! |
Ω |
0.14622885110406 |
Real period |
R |
0.14446902597157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874d2 8946x2 |
Quadratic twists by: -3 -7 |