Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818ba |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4324505190274547712 = -1 · 214 · 32 · 710 · 473 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-201342,105905988] |
[a1,a2,a3,a4,a6] |
j |
-7672532588448337/36757687615488 |
j-invariant |
L |
5.9755848942336 |
L(r)(E,1)/r! |
Ω |
0.21341374622263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544cl1 41454be1 1974e1 |
Quadratic twists by: -4 -3 -7 |