Atkin-Lehner |
2+ 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
108072b |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21289319424 = -1 · 210 · 36 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-7130] |
[a1,a2,a3,a4,a6] |
Generators |
[1675302:11856380:29791] |
Generators of the group modulo torsion |
j |
-1556068/28519 |
j-invariant |
L |
10.043605533135 |
L(r)(E,1)/r! |
Ω |
0.52099396448069 |
Real period |
R |
9.6388885443628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12008d1 |
Quadratic twists by: -3 |