Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5368b |
Isogeny class |
Conductor |
5368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-10478336 = -1 · 28 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 1 1 0 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,11] |
[a1,a2,a3,a4,a6] |
Generators |
[14:61:1] |
Generators of the group modulo torsion |
j |
70575104/40931 |
j-invariant |
L |
4.7232546302294 |
L(r)(E,1)/r! |
Ω |
1.3551309487683 |
Real period |
R |
0.87136498404867 |
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 |
10736a1 42944f1 48312d1 59048c1 |
Quadratic twists by: -4 8 -3 -11 |