Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6776b |
Isogeny class |
Conductor |
6776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-818107136 = -1 · 28 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1804,29524] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:238:1] [2574:111034:729] |
Generators of the group modulo torsion |
j |
-1905527808/2401 |
j-invariant |
L |
3.1557729809985 |
L(r)(E,1)/r! |
Ω |
1.5837901947173 |
Real period |
R |
0.06226702626724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13552a1 54208z1 60984cd1 47432e1 |
Quadratic twists by: -4 8 -3 -7 |