Atkin-Lehner |
2- 3- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
125460d |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2624311778169600 = 28 · 315 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16061943,24776800958] |
[a1,a2,a3,a4,a6] |
Generators |
[-36958:156735:8] |
Generators of the group modulo torsion |
j |
2455559487148582002256/14062027275 |
j-invariant |
L |
7.2769597719231 |
L(r)(E,1)/r! |
Ω |
0.3106943792809 |
Real period |
R |
5.8554002417339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41820d2 |
Quadratic twists by: -3 |