Atkin-Lehner |
2+ 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950be |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-2983905000 = -1 · 23 · 33 · 54 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 4 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101,2648] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:52:1] |
Generators of the group modulo torsion |
j |
-179726425/4774248 |
j-invariant |
L |
5.494703916995 |
L(r)(E,1)/r! |
Ω |
1.1931959692845 |
Real period |
R |
0.7675050933327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950bt1 |
Quadratic twists by: 5 |