Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2752b |
Isogeny class |
Conductor |
2752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-704512 = -1 · 214 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53,173] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
4.0985812373375 |
L(r)(E,1)/r! |
Ω |
2.8352346722438 |
Real period |
R |
1.4455880063338 |
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 |
2752f1 172a1 24768k1 68800bo1 |
Quadratic twists by: -4 8 -3 5 |