Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cj |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
723420387720695808 = 212 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1622939,-794336565] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:1290:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
8.5479456130635 |
L(r)(E,1)/r! |
Ω |
0.1337716055833 |
Real period |
R |
2.6624813165044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154i1 2574m1 |
Quadratic twists by: -3 13 |