Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ev |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.5221930248045E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85404033,327721499937] |
[a1,a2,a3,a4,a6] |
Generators |
[-2054:4730375:8] |
Generators of the group modulo torsion |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
5.6726467259607 |
L(r)(E,1)/r! |
Ω |
0.073362656227057 |
Real period |
R |
6.4436129335829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cy3 15600cd3 12480cm3 |
Quadratic twists by: -4 8 5 |