Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545r |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-788302211616675 = -1 · 33 · 52 · 73 · 237 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -3 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11285,-1431244] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/5325075 |
j-invariant |
L |
2.5100702429601 |
L(r)(E,1)/r! |
Ω |
0.20917252031838 |
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 |
2415d1 |
Quadratic twists by: -23 |