Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650bb |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5992492786720000 = -1 · 28 · 54 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-194788,33217381] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:8027:1] |
Generators of the group modulo torsion |
j |
-1307767166474441425/9587988458752 |
j-invariant |
L |
9.5398435468645 |
L(r)(E,1)/r! |
Ω |
0.42763950481256 |
Real period |
R |
0.13278656994503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200ce1 113850cf1 12650j1 |
Quadratic twists by: -4 -3 5 |