Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018ba |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
8492853210987575936 = 27 · 117 · 237 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 11- -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3041761,-2037339831] |
[a1,a2,a3,a4,a6] |
Generators |
[-1002:2679:1] [-968:1013:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
11.540898536103 |
L(r)(E,1)/r! |
Ω |
0.11433771496899 |
Real period |
R |
1.8024452728995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638l1 5566e1 |
Quadratic twists by: -11 -23 |