Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890g |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
101088 |
Modular degree for the optimal curve |
Δ |
-287763694985728000 = -1 · 212 · 53 · 139 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,164952,1106678] |
[a1,a2,a3,a4,a6] |
Generators |
[297:8587:1] |
Generators of the group modulo torsion |
j |
496363974855285405959/287763694985728000 |
j-invariant |
L |
2.2548747661053 |
L(r)(E,1)/r! |
Ω |
0.18500499892941 |
Real period |
R |
2.0313638182336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55120u1 62010bu1 34450p1 89570p1 |
Quadratic twists by: -4 -3 5 13 |