Atkin-Lehner |
2- 5+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59450l |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1561491406250 = -1 · 2 · 58 · 29 · 413 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4838,140781] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:4221:8] |
Generators of the group modulo torsion |
j |
-801506204569/99935450 |
j-invariant |
L |
9.0318149198235 |
L(r)(E,1)/r! |
Ω |
0.82115075181626 |
Real period |
R |
1.833162160948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11890a1 |
Quadratic twists by: 5 |