Atkin-Lehner |
3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6771b |
Isogeny class |
Conductor |
6771 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-114095287681821 = -1 · 36 · 376 · 61 |
Discriminant |
Eigenvalues |
-1 3- -3 1 1 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6773,-466426] |
[a1,a2,a3,a4,a6] |
Generators |
[65:467:1] |
Generators of the group modulo torsion |
j |
34360773469867727/114095287681821 |
j-invariant |
L |
2.4588876229012 |
L(r)(E,1)/r! |
Ω |
0.30197395696601 |
Real period |
R |
0.22618650514013 |
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 |
108336p1 20313g1 |
Quadratic twists by: -4 -3 |