Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ck |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.6355866279113E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26689713,-201688662708] |
[a1,a2,a3,a4,a6] |
Generators |
[76518:5134467:8] |
Generators of the group modulo torsion |
j |
-1143792273008057401/8897444448004035 |
j-invariant |
L |
4.7334759272163 |
L(r)(E,1)/r! |
Ω |
0.029305238702815 |
Real period |
R |
10.095199989708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ek3 8085f4 5775d4 |
Quadratic twists by: -3 5 -7 |