Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614h |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1410437407481856 = -1 · 213 · 315 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -1 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20646,1395252] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:204:1] |
Generators of the group modulo torsion |
j |
1335033367297631/1934756388864 |
j-invariant |
L |
3.6261150384078 |
L(r)(E,1)/r! |
Ω |
0.3251884516315 |
Real period |
R |
2.7877028075683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538o1 |
Quadratic twists by: -3 |