Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bn |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
11531520 |
Modular degree for the optimal curve |
Δ |
347135288491008000 = 213 · 313 · 53 · 193 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-490970948,-4187155350553] |
[a1,a2,a3,a4,a6] |
Generators |
[-4387845:2194723:343] |
Generators of the group modulo torsion |
j |
17954096979299341412228058361/476180093952000 |
j-invariant |
L |
5.6661417064094 |
L(r)(E,1)/r! |
Ω |
0.03207270621088 |
Real period |
R |
3.3974140775333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670g1 |
Quadratic twists by: -3 |