Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cp |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2934547846823736 = -1 · 23 · 312 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19741,2372699] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1522:1] |
Generators of the group modulo torsion |
j |
241804367/833976 |
j-invariant |
L |
4.6436545068259 |
L(r)(E,1)/r! |
Ω |
0.32003138781965 |
Real period |
R |
0.60458321219455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154u1 2574o1 |
Quadratic twists by: -3 13 |