Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bg |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-115156209919291632 = -1 · 24 · 36 · 72 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644159,811618103] |
[a1,a2,a3,a4,a6] |
j |
-42141272308261088512/9872788916263 |
j-invariant |
L |
2.5916078556512 |
L(r)(E,1)/r! |
Ω |
0.32395101491353 |
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 |
13832b1 |
Quadratic twists by: -3 |