Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537g |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-94263242582223 = -1 · 34 · 116 · 134 · 23 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11009,147976] |
[a1,a2,a3,a4,a6] |
Generators |
[542:8531:8] |
Generators of the group modulo torsion |
j |
83281698863/53209143 |
j-invariant |
L |
3.9752071385093 |
L(r)(E,1)/r! |
Ω |
0.37439330906642 |
Real period |
R |
5.3088651437514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999902889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897c4 |
Quadratic twists by: -11 |