Atkin-Lehner |
2- 3+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
39114k |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12438252 = 22 · 33 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2621,-50983] |
[a1,a2,a3,a4,a6] |
Generators |
[103:822:1] |
Generators of the group modulo torsion |
j |
73723451557491/460676 |
j-invariant |
L |
6.0567894958359 |
L(r)(E,1)/r! |
Ω |
0.66726125535815 |
Real period |
R |
4.5385442712263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39114c2 |
Quadratic twists by: -3 |