Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927j |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-114353098068750723 = -1 · 39 · 77 · 135 · 19 |
Discriminant |
Eigenvalues |
2 3- -2 7- 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-275331,57938445] |
[a1,a2,a3,a4,a6] |
Generators |
[-2546698:111726877:10648] |
Generators of the group modulo torsion |
j |
-26913692127232/1333313163 |
j-invariant |
L |
12.721664336442 |
L(r)(E,1)/r! |
Ω |
0.32904857760925 |
Real period |
R |
9.665491078416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36309v1 15561h1 |
Quadratic twists by: -3 -7 |