Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616j |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-597546284311155456 = -1 · 28 · 39 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -1 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-530604,153344556] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4913:1] |
Generators of the group modulo torsion |
j |
-27648 |
j-invariant |
L |
2.2011057348791 |
L(r)(E,1)/r! |
Ω |
0.28805978377956 |
Real period |
R |
1.9102855195473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808e1 41616g1 41616f1 |
Quadratic twists by: -4 -3 17 |