Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048i |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
205964810128 = 24 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3 2 7- 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,-6517] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:343:27] |
Generators of the group modulo torsion |
j |
205915392/109417 |
j-invariant |
L |
15.321841283171 |
L(r)(E,1)/r! |
Ω |
0.81232683809799 |
Real period |
R |
2.3577088228108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864h1 |
Quadratic twists by: -7 |