Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880p |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-5.5886856625901E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736268,1163102192] |
[a1,a2,a3,a4,a6] |
Generators |
[829674169634526:-39155085258784768:356250045969] |
Generators of the group modulo torsion |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
4.6278233751154 |
L(r)(E,1)/r! |
Ω |
0.13910300189188 |
Real period |
R |
16.634520147096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bz1 2090f1 |
Quadratic twists by: -4 8 |