Atkin-Lehner |
2- 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10266g |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
9978552 = 23 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-478,3980] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:74:1] |
Generators of the group modulo torsion |
j |
12079923558625/9978552 |
j-invariant |
L |
7.4738788932479 |
L(r)(E,1)/r! |
Ω |
2.2761124627403 |
Real period |
R |
1.641807910548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82128m1 30798k1 |
Quadratic twists by: -4 -3 |