Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400ey |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-278857462579200 = -1 · 228 · 37 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5685,-786310] |
[a1,a2,a3,a4,a6] |
j |
272199695/3735552 |
j-invariant |
L |
2.1526322782808 |
L(r)(E,1)/r! |
Ω |
0.26907903456708 |
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 |
8550v1 22800bx1 68400gd1 |
Quadratic twists by: -4 -3 5 |