Atkin-Lehner |
2+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5590a |
Isogeny class |
Conductor |
5590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-59044375000000 = -1 · 26 · 510 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6365,419781] |
[a1,a2,a3,a4,a6] |
j |
-28520511877550889/59044375000000 |
j-invariant |
L |
1.6681670117586 |
L(r)(E,1)/r! |
Ω |
0.5560556705862 |
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 |
44720k1 50310cf1 27950k1 72670v1 |
Quadratic twists by: -4 -3 5 13 |