Atkin-Lehner |
3+ 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93525a |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
42378515625 = 3 · 58 · 292 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1275,-15000] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:449:8] |
Generators of the group modulo torsion |
j |
14688124849/2712225 |
j-invariant |
L |
5.0449750182143 |
L(r)(E,1)/r! |
Ω |
0.80905383276038 |
Real period |
R |
3.1178240582047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705g1 |
Quadratic twists by: 5 |