Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018i |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
5.435426055032E+20 |
Discriminant |
Eigenvalues |
2+ -2 1 -1 11- 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5506108,4844347770] |
[a1,a2,a3,a4,a6] |
Generators |
[780:31614:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
2.7410907595597 |
L(r)(E,1)/r! |
Ω |
0.16359577069699 |
Real period |
R |
1.0472042066785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996032983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638q1 5566b1 |
Quadratic twists by: -11 -23 |