Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970h |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1424106646740000 = 25 · 38 · 54 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-836503,-294539494] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:272:1] |
Generators of the group modulo torsion |
j |
64732961216038350067561/1424106646740000 |
j-invariant |
L |
5.5019074860843 |
L(r)(E,1)/r! |
Ω |
0.15786407689878 |
Real period |
R |
2.1782613539162 |
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 |
71910ba2 119850bx2 |
Quadratic twists by: -3 5 |