Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18300m |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-92643750000 = -1 · 24 · 35 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -1 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3958,-98287] |
[a1,a2,a3,a4,a6] |
j |
-1097440000/14823 |
j-invariant |
L |
4.5105940245622 |
L(r)(E,1)/r! |
Ω |
0.30070626830415 |
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 |
73200ca1 54900w1 18300c1 |
Quadratic twists by: -4 -3 5 |