Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2739g |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-2739 = -1 · 3 · 11 · 83 |
Discriminant |
Eigenvalues |
0 3+ 3 -2 11- -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
32768/2739 |
j-invariant |
L |
2.653472105773 |
L(r)(E,1)/r! |
Ω |
3.473462653011 |
Real period |
R |
0.76392705805336 |
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 |
43824z1 8217e1 68475g1 30129c1 |
Quadratic twists by: -4 -3 5 -11 |