Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890j |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2967006250 = 2 · 55 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33348,-2335603] |
[a1,a2,a3,a4,a6] |
Generators |
[-74102237490:36619179197:704969000] |
Generators of the group modulo torsion |
j |
4101293798987882769/2967006250 |
j-invariant |
L |
5.4631417848922 |
L(r)(E,1)/r! |
Ω |
0.35329146264852 |
Real period |
R |
15.463554493892 |
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 |
55120h2 62010r2 34450h2 89570k2 |
Quadratic twists by: -4 -3 5 13 |