Atkin-Lehner |
2- 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880cp |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
4756269404160 = 212 · 312 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4616,58164] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:408:1] [-20:378:1] |
Generators of the group modulo torsion |
j |
2656166199049/1161198585 |
j-invariant |
L |
13.009374086762 |
L(r)(E,1)/r! |
Ω |
0.69441095119348 |
Real period |
R |
1.5612001875712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6555b1 |
Quadratic twists by: -4 |