Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320r |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.2143994403839E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11918175,-22213770975] |
[a1,a2,a3,a4,a6] |
Generators |
[2484689082657998580:-145897433938549363825:1047410108087616] |
Generators of the group modulo torsion |
j |
714188788037232293591/1226196075585909600 |
j-invariant |
L |
6.2434670506714 |
L(r)(E,1)/r! |
Ω |
0.050720843331856 |
Real period |
R |
30.773675277677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cr3 2010d4 |
Quadratic twists by: -4 8 |