Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124l |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
639532885264 = 24 · 72 · 138 |
Discriminant |
Eigenvalues |
2- -1 1 7- 1 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14590,682109] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2197:1] |
Generators of the group modulo torsion |
j |
90770176/169 |
j-invariant |
L |
4.7671443330265 |
L(r)(E,1)/r! |
Ω |
0.91218073089008 |
Real period |
R |
1.3065240723662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33124a1 2548e1 |
Quadratic twists by: -7 13 |