Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600l |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-46915560000000 = -1 · 29 · 32 · 57 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8992,-27012] |
[a1,a2,a3,a4,a6] |
j |
10049728312/5864445 |
j-invariant |
L |
3.0080032512141 |
L(r)(E,1)/r! |
Ω |
0.37600040645225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bb2 91200w3 9120n4 |
Quadratic twists by: -4 8 5 |