Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13332b |
Isogeny class |
Conductor |
13332 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
26400 |
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 |
[-115:18:1] |
Generators of the group modulo torsion |
j |
27098718208000000/3952674693 |
j-invariant |
L |
5.337589099878 |
L(r)(E,1)/r! |
Ω |
0.33815405968371 |
Real period |
R |
1.0522992793818 |
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 |
53328k1 39996e1 |
Quadratic twists by: -4 -3 |