Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627t |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
148512 |
Modular degree for the optimal curve |
Δ |
-87439028187 = -1 · 3 · 72 · 296 |
Discriminant |
Eigenvalues |
-2 3- 2 7- 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1962,-37012] |
[a1,a2,a3,a4,a6] |
Generators |
[174513:14030810:27] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
5.4251200966656 |
L(r)(E,1)/r! |
Ω |
0.35654502956071 |
Real period |
R |
7.6079032188932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998903528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627a1 147c1 |
Quadratic twists by: -7 29 |