Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456l |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
231247872 = 212 · 34 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:18:1] [-12:32:1] |
Generators of the group modulo torsion |
j |
169112377/56457 |
j-invariant |
L |
6.050241901395 |
L(r)(E,1)/r! |
Ω |
1.6253453274082 |
Real period |
R |
1.8612173669713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091a1 100368ca1 |
Quadratic twists by: -4 -3 |