Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328k |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
1011884721408 = 28 · 35 · 115 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39733,3061321] |
[a1,a2,a3,a4,a6] |
Generators |
[117:22:1] |
Generators of the group modulo torsion |
j |
27098718208000000/3952674693 |
j-invariant |
L |
6.3115175546307 |
L(r)(E,1)/r! |
Ω |
0.84713602298972 |
Real period |
R |
0.74504180949989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13332b1 |
Quadratic twists by: -4 |