Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
120328k |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
853632 |
Modular degree for the optimal curve |
Δ |
241612913714432 = 28 · 139 · 89 |
Discriminant |
Eigenvalues |
2- 2 0 3 -4 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424753,-106405755] |
[a1,a2,a3,a4,a6] |
Generators |
[-5024706441:85867406:13312053] |
Generators of the group modulo torsion |
j |
3121792000/89 |
j-invariant |
L |
10.708686438681 |
L(r)(E,1)/r! |
Ω |
0.18701054618902 |
Real period |
R |
14.315618242086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120328e1 |
Quadratic twists by: 13 |