Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440c |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-91960000 = -1 · 26 · 54 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[2172:19250:27] |
Generators of the group modulo torsion |
j |
-504358336/1436875 |
j-invariant |
L |
7.273322261983 |
L(r)(E,1)/r! |
Ω |
0.77489073739188 |
Real period |
R |
4.6931276314279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440k1 66880ds2 |
Quadratic twists by: -4 8 |