Atkin-Lehner |
3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55341k |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-423477688491 = -1 · 36 · 11 · 134 · 432 |
Discriminant |
Eigenvalues |
-2 3- -3 -4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3459,-84330] |
[a1,a2,a3,a4,a6] |
Generators |
[75:279:1] |
Generators of the group modulo torsion |
j |
-6278383931392/580902179 |
j-invariant |
L |
2.2090548442741 |
L(r)(E,1)/r! |
Ω |
0.30963560419822 |
Real period |
R |
0.89179620109364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6149c1 |
Quadratic twists by: -3 |