Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352ch |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-508502016 = -1 · 213 · 33 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,1076] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] |
Generators of the group modulo torsion |
j |
-14641/1026 |
j-invariant |
L |
10.230304227361 |
L(r)(E,1)/r! |
Ω |
1.3634911478607 |
Real period |
R |
0.62525183914318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794b1 110352bt1 |
Quadratic twists by: -4 -11 |