Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080da |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
731161600 = 210 · 52 · 134 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
5.1368030526394 |
L(r)(E,1)/r! |
Ω |
1.3467921939271 |
Real period |
R |
1.9070510935682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bi1 13520c1 54080cd1 |
Quadratic twists by: -4 8 13 |