Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240h |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-118984464000000 = -1 · 210 · 36 · 56 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11344,247044] |
[a1,a2,a3,a4,a6] |
j |
157646424207164/116195765625 |
j-invariant |
L |
4.5120373915047 |
L(r)(E,1)/r! |
Ω |
0.37600311595872 |
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 |
12120k2 96960cw2 72720v2 121200c2 |
Quadratic twists by: -4 8 -3 5 |