Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10032i |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
799467896832 = 226 · 3 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3288,-57360] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:62:1] |
Generators of the group modulo torsion |
j |
960044289625/195182592 |
j-invariant |
L |
4.0035463337835 |
L(r)(E,1)/r! |
Ω |
0.63945160780232 |
Real period |
R |
3.1304529419693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1254d1 40128bu1 30096s1 110352bi1 |
Quadratic twists by: -4 8 -3 -11 |