Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927i |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-1032301179 = -1 · 38 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-356,3098] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:67:1] |
Generators of the group modulo torsion |
j |
-139317577/28899 |
j-invariant |
L |
6.3442951838764 |
L(r)(E,1)/r! |
Ω |
1.4912353554105 |
Real period |
R |
1.0635972334959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36309u1 108927f1 |
Quadratic twists by: -3 -7 |