Atkin-Lehner |
3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5499i |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-2151856158777 = -1 · 313 · 13 · 473 |
Discriminant |
Eigenvalues |
-1 3- 4 5 5 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2227,-58386] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
2.5939034110512 |
L(r)(E,1)/r! |
Ω |
0.4323172351752 |
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 |
87984bt1 1833c1 71487i1 |
Quadratic twists by: -4 -3 13 |