Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6688a |
Isogeny class |
Conductor |
6688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
1618496 = 26 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8429,-297860] |
[a1,a2,a3,a4,a6] |
Generators |
[5590832460:79363537604:23149125] |
Generators of the group modulo torsion |
j |
1034836884153792/25289 |
j-invariant |
L |
4.2327950892084 |
L(r)(E,1)/r! |
Ω |
0.49825944720774 |
Real period |
R |
16.990325473723 |
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 |
6688d1 13376i1 60192v1 73568s1 |
Quadratic twists by: -4 8 -3 -11 |