Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300a |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-548924351220000000 = -1 · 28 · 32 · 57 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1379908,-624469688] |
[a1,a2,a3,a4,a6] |
j |
-72646456083703504/137231087805 |
j-invariant |
L |
0.83567821471016 |
L(r)(E,1)/r! |
Ω |
0.0696398512493 |
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 |
9660d2 |
Quadratic twists by: 5 |