Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650n |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-6.9587377717248E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41021442,-101116930284] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
0.23861985490519 |
L(r)(E,1)/r! |
Ω |
0.029827481863149 |
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 |
5550bg1 666g1 |
Quadratic twists by: -3 5 |