Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440w |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-459800000000 = -1 · 29 · 58 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11+ 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12763,555938] |
[a1,a2,a3,a4,a6] |
Generators |
[13974:6875:216] |
Generators of the group modulo torsion |
j |
-449067948252552/898046875 |
j-invariant |
L |
9.5723164376162 |
L(r)(E,1)/r! |
Ω |
0.93808883249422 |
Real period |
R |
2.5510154545187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33440z1 66880dn1 |
Quadratic twists by: -4 8 |