Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838t |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-202797766813824 = -1 · 27 · 36 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6548092,6448867898] |
[a1,a2,a3,a4,a6] |
Generators |
[-996338:11136686:343] |
Generators of the group modulo torsion |
j |
-5386214123973140857/35178624 |
j-invariant |
L |
8.2251719533517 |
L(r)(E,1)/r! |
Ω |
0.38685023341004 |
Real period |
R |
10.63095127759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843635 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
110838f1 |
Quadratic twists by: -7 |