Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600x |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-77976000 = -1 · 26 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,-432] |
[a1,a2,a3,a4,a6] |
j |
-85184/9747 |
j-invariant |
L |
5.1377849029539 |
L(r)(E,1)/r! |
Ω |
0.8562974838418 |
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 |
45600bk1 91200bw1 45600bm1 |
Quadratic twists by: -4 8 5 |