Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192s |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5498790022656 = 29 · 34 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10992,425340] |
[a1,a2,a3,a4,a6] |
Generators |
[-726:6615:8] |
Generators of the group modulo torsion |
j |
2438569736/91287 |
j-invariant |
L |
10.371959846081 |
L(r)(E,1)/r! |
Ω |
0.75600955395566 |
Real period |
R |
3.4298375538092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bl2 15456b2 |
Quadratic twists by: -4 -7 |