Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266o |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
127697472 = 26 · 36 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-537,-4627] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] |
Generators of the group modulo torsion |
j |
23516564625/175168 |
j-invariant |
L |
4.2183948726714 |
L(r)(E,1)/r! |
Ω |
0.99211747144269 |
Real period |
R |
2.1259553400313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474d1 |
Quadratic twists by: -3 |