Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945y |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3651099375 = 3 · 54 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2191,-39550] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:16:1] |
Generators of the group modulo torsion |
j |
1163223676541809/3651099375 |
j-invariant |
L |
3.6392986277506 |
L(r)(E,1)/r! |
Ω |
0.69794287824435 |
Real period |
R |
2.6071608015437 |
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 |
65835bl4 109725k3 |
Quadratic twists by: -3 5 |