Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440z |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
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 |
[161:1250:1] |
Generators of the group modulo torsion |
j |
-449067948252552/898046875 |
j-invariant |
L |
2.7119739754138 |
L(r)(E,1)/r! |
Ω |
0.22455840885452 |
Real period |
R |
1.5096150202346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33440w1 66880dh1 |
Quadratic twists by: -4 8 |