Atkin-Lehner |
2- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890k |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18988840 = 23 · 5 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228,-1249] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:7:1] |
Generators of the group modulo torsion |
j |
1305392995089/18988840 |
j-invariant |
L |
5.2201198749304 |
L(r)(E,1)/r! |
Ω |
1.2301196148102 |
Real period |
R |
1.4145290729134 |
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 |
55120j2 62010x2 34450b2 89570f2 |
Quadratic twists by: -4 -3 5 13 |