Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6776g |
Isogeny class |
Conductor |
6776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-12698549248 = -1 · 210 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,5436] |
[a1,a2,a3,a4,a6] |
Generators |
[81:726:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
4.3221235322181 |
L(r)(E,1)/r! |
Ω |
1.0170617449566 |
Real period |
R |
2.1248088199417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552i1 54208t1 60984bc1 47432ba1 |
Quadratic twists by: -4 8 -3 -7 |