Atkin-Lehner |
2- 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550ck |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5417688118176000 = 28 · 318 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2981203,1980980897] |
[a1,a2,a3,a4,a6] |
Generators |
[-1738:44609:1] [962:1409:1] |
Generators of the group modulo torsion |
j |
23441659697210718126149/43341504945408 |
j-invariant |
L |
15.336456996076 |
L(r)(E,1)/r! |
Ω |
0.36770976325411 |
Real period |
R |
0.57927846484934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65550r2 |
Quadratic twists by: 5 |