Atkin-Lehner |
3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175r |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
416510009765625 = 3 · 514 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40751,3006773] |
[a1,a2,a3,a4,a6] |
Generators |
[1788831:-5561857:19683] |
Generators of the group modulo torsion |
j |
478964336951521/26656640625 |
j-invariant |
L |
10.239719981778 |
L(r)(E,1)/r! |
Ω |
0.52341481151632 |
Real period |
R |
9.781649045273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14835a1 |
Quadratic twists by: 5 |