Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5618d |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3378957918005384192 = -1 · 210 · 539 |
Discriminant |
Eigenvalues |
2+ -1 2 2 -2 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6640534,6584296148] |
[a1,a2,a3,a4,a6] |
j |
-9814089221/1024 |
j-invariant |
L |
0.96248914570723 |
L(r)(E,1)/r! |
Ω |
0.24062228642681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44944i2 50562bj2 5618i2 |
Quadratic twists by: -4 -3 53 |