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 |
Δ |
-591003217042546875 = -1 · 3 · 56 · 7 · 239 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -3 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,99805,34972949] |
[a1,a2,a3,a4,a6] |
j |
742692847616/3992296875 |
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 |
2415d2 |
Quadratic twists by: -23 |