Atkin-Lehner |
5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43225g |
Isogeny class |
Conductor |
43225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
232320 |
Modular degree for the optimal curve |
Δ |
1078372572265625 = 59 · 76 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 6 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26513,512392] |
[a1,a2,a3,a4,a6] |
j |
1055288759741/552126757 |
j-invariant |
L |
0.86249377754492 |
L(r)(E,1)/r! |
Ω |
0.43124688880637 |
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 |
43225h1 |
Quadratic twists by: 5 |