Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537q |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7575623153295321267 = 33 · 1112 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9173678,-10694515215] |
[a1,a2,a3,a4,a6] |
Generators |
[-1761:1062:1] |
Generators of the group modulo torsion |
j |
48194566758167973625/4276241773947 |
j-invariant |
L |
3.6386636088314 |
L(r)(E,1)/r! |
Ω |
0.086749302903132 |
Real period |
R |
3.4953822119383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999055796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867i2 |
Quadratic twists by: -11 |