Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650bo |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2325000000000 = -1 · 29 · 3 · 511 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5088,-158208] |
[a1,a2,a3,a4,a6] |
j |
-932288503609/148800000 |
j-invariant |
L |
5.043265576326 |
L(r)(E,1)/r! |
Ω |
0.280181420907 |
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 |
37200bp1 13950bb1 930b1 |
Quadratic twists by: -4 -3 5 |