Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080l |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
456976000000 = 210 · 56 · 134 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4281,-101375] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:125:8] |
Generators of the group modulo torsion |
j |
296747776/15625 |
j-invariant |
L |
3.0797053104174 |
L(r)(E,1)/r! |
Ω |
0.59214082662673 |
Real period |
R |
2.6004838477119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bz1 3380f1 54080bk1 |
Quadratic twists by: -4 8 13 |