Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075c |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8069859495052E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12009980,15818867272] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:15085:1] |
Generators of the group modulo torsion |
j |
622929950501217507/9127018278125 |
j-invariant |
L |
3.5461415565069 |
L(r)(E,1)/r! |
Ω |
0.14365547696365 |
Real period |
R |
6.1712606290045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075j2 8415g2 |
Quadratic twists by: -3 5 |