Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1800x |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-255091680000 = -1 · 28 · 313 · 54 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 6 -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,-44300] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
1.3922513116353 |
L(r)(E,1)/r! |
Ω |
0.34806282790882 |
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 |
3600x1 14400cp1 600e1 1800i1 |
Quadratic twists by: -4 8 -3 5 |