Atkin-Lehner |
2- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048p |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-1051244390893312 = -1 · 28 · 79 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145775,21479346] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-638:1] |
Generators of the group modulo torsion |
j |
-33162750000/101761 |
j-invariant |
L |
4.58922459214 |
L(r)(E,1)/r! |
Ω |
0.49363528550027 |
Real period |
R |
1.1620990190306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998776047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125048o1 |
Quadratic twists by: -7 |