Atkin-Lehner |
3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743ba |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7483392 |
Modular degree for the optimal curve |
Δ |
-17834442966865371 = -1 · 3 · 77 · 114 · 793 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16351512,-25455288190] |
[a1,a2,a3,a4,a6] |
Generators |
[5731056:420001102:729] |
Generators of the group modulo torsion |
j |
-4109691771640831578112/151590263979 |
j-invariant |
L |
2.6409173863809 |
L(r)(E,1)/r! |
Ω |
0.037538773294403 |
Real period |
R |
8.7939655755026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997940122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249g1 |
Quadratic twists by: -7 |