Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1200d |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-349920000 = -1 · 28 · 37 · 54 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 6 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-1563] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
1.8085875064925 |
L(r)(E,1)/r! |
Ω |
0.60286250216418 |
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 |
600e1 4800ct1 3600x1 1200h1 |
Quadratic twists by: -4 8 -3 5 |