Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890h |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
116441000000 = 26 · 56 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2093,32808] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:215:1] |
Generators of the group modulo torsion |
j |
1013288430066121/116441000000 |
j-invariant |
L |
1.7999732688848 |
L(r)(E,1)/r! |
Ω |
1.016270963241 |
Real period |
R |
1.7711548730513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55120v1 62010bw1 34450q1 89570q1 |
Quadratic twists by: -4 -3 5 13 |