Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dh |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-29427200000000 = -1 · 215 · 58 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11+ -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51052,-4447504] |
[a1,a2,a3,a4,a6] |
j |
-449067948252552/898046875 |
j-invariant |
L |
5.081176768288 |
L(r)(E,1)/r! |
Ω |
0.15878677367349 |
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 |
66880dn1 33440z1 |
Quadratic twists by: -4 8 |