Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bp |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3270550487040 = -1 · 226 · 33 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6305,209343] |
[a1,a2,a3,a4,a6] |
j |
-105756712489/12476160 |
j-invariant |
L |
4.6387445890694 |
L(r)(E,1)/r! |
Ω |
0.77312409817823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240ce1 570a1 54720bg1 91200bi1 |
Quadratic twists by: -4 8 -3 5 |