Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bu |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-771462966915072 = -1 · 212 · 33 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 6 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14739,1503378] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4624:1] |
Generators of the group modulo torsion |
j |
-459 |
j-invariant |
L |
7.3269005352694 |
L(r)(E,1)/r! |
Ω |
0.44814957968705 |
Real period |
R |
0.68121791504539 |
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 |
2601e1 41616bv1 41616bp1 |
Quadratic twists by: -4 -3 17 |