Atkin-Lehner |
3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
759b |
Isogeny class |
Conductor |
759 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-18259263 = -1 · 38 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
3288008303/18259263 |
j-invariant |
L |
1.6306147759645 |
L(r)(E,1)/r! |
Ω |
1.0932448413876 |
Real period |
R |
1.4915366752564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12144w1 48576c1 2277b1 18975e1 |
Quadratic twists by: -4 8 -3 5 |