Atkin-Lehner |
2+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088h |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1555136 = -1 · 26 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ -3 -3 -2 11+ 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,-206] |
[a1,a2,a3,a4,a6] |
Generators |
[15:47:1] |
Generators of the group modulo torsion |
j |
-452984832/24299 |
j-invariant |
L |
1.7728615084441 |
L(r)(E,1)/r! |
Ω |
0.8413408153599 |
Real period |
R |
1.0535929531041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088bm1 517b1 |
Quadratic twists by: -4 8 |