Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562m |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
37190387733774336 = 214 · 37 · 176 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-553875,158341486] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4656:1] |
Generators of the group modulo torsion |
j |
778510269523657/1540767744 |
j-invariant |
L |
6.5028384498132 |
L(r)(E,1)/r! |
Ω |
0.36578755123827 |
Real period |
R |
2.5396624851014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258b1 |
Quadratic twists by: 17 |