Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bc |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
747514675440000 = 27 · 39 · 54 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3114263,2116122031] |
[a1,a2,a3,a4,a6] |
Generators |
[661:18272:1] |
Generators of the group modulo torsion |
j |
169706371139819959563/37977680000 |
j-invariant |
L |
10.27240868029 |
L(r)(E,1)/r! |
Ω |
0.40191250439524 |
Real period |
R |
0.9128149400093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010g2 |
Quadratic twists by: -3 |