Atkin-Lehner |
3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4557c |
Isogeny class |
Conductor |
4557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64105410663 = 34 · 77 · 312 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1544,19293] |
[a1,a2,a3,a4,a6] |
j |
3463512697/544887 |
j-invariant |
L |
2.1132842754978 |
L(r)(E,1)/r! |
Ω |
1.0566421377489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912da2 13671l2 113925bz2 651c2 |
Quadratic twists by: -4 -3 5 -7 |