Atkin-Lehner |
2- 5- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650u |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17600 |
Modular degree for the optimal curve |
Δ |
6532000 = 25 · 53 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -4 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83,257] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-11:1] [-26:191:8] |
Generators of the group modulo torsion |
j |
506261573/52256 |
j-invariant |
L |
17.321137336276 |
L(r)(E,1)/r! |
Ω |
2.3049962372282 |
Real period |
R |
0.75146054716541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650g1 |
Quadratic twists by: 5 |