Atkin-Lehner |
2- 3+ 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990q |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
469816294921875000 = 23 · 39 · 512 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-213032,-18514061] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:4501:1] |
Generators of the group modulo torsion |
j |
54320660548619067/23869140625000 |
j-invariant |
L |
11.977237562966 |
L(r)(E,1)/r! |
Ω |
0.2313856720116 |
Real period |
R |
1.4378636365696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990a2 |
Quadratic twists by: -3 |