Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650y |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-186000000 = -1 · 27 · 3 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 7 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-413,-3469] |
[a1,a2,a3,a4,a6] |
j |
-498677257/11904 |
j-invariant |
L |
3.7013638072338 |
L(r)(E,1)/r! |
Ω |
0.52876625817626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37200df1 13950p1 186c1 |
Quadratic twists by: -4 -3 5 |