Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bx |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17646448803840 = 220 · 311 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-283668492,-1838928160784] |
[a1,a2,a3,a4,a6] |
Generators |
[96955311803804907167891326704503244:3142709777044342467393283943720134960:4866632209779049417743787735619] |
Generators of the group modulo torsion |
j |
13209596798923694545921/92340 |
j-invariant |
L |
8.3448958038645 |
L(r)(E,1)/r! |
Ω |
0.036787203917255 |
Real period |
R |
56.710587618191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720fc4 1710g3 18240bd4 |
Quadratic twists by: -4 8 -3 |