Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bg |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-3391463681359872 = -1 · 216 · 3 · 297 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6448,2796948] |
[a1,a2,a3,a4,a6] |
Generators |
[-378252:10349346:6859] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
8.7638719195246 |
L(r)(E,1)/r! |
Ω |
0.34251278116028 |
Real period |
R |
6.3967480934835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5046h1 121104ca1 1392h1 |
Quadratic twists by: -4 -3 29 |