Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928b |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
845824 |
Modular degree for the optimal curve |
Δ |
-84519704199168 = -1 · 217 · 33 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1343340,-599276368] |
[a1,a2,a3,a4,a6] |
Generators |
[49016594:9401732016:1331] |
Generators of the group modulo torsion |
j |
-75754399836615750/23882747 |
j-invariant |
L |
7.2205436921064 |
L(r)(E,1)/r! |
Ω |
0.070116957677715 |
Real period |
R |
12.872320694485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999575006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928cy1 14616f1 116928h1 |
Quadratic twists by: -4 8 -3 |