Atkin-Lehner |
3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
71961a |
Isogeny class |
Conductor |
71961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-11396218198029849 = -1 · 39 · 178 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 3 2 5 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64164,8067438] |
[a1,a2,a3,a4,a6] |
Generators |
[498:9747:1] |
Generators of the group modulo torsion |
j |
-1210333063393/472136121 |
j-invariant |
L |
4.7920836840685 |
L(r)(E,1)/r! |
Ω |
0.37872756768486 |
Real period |
R |
6.3265577850156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4233a1 |
Quadratic twists by: 17 |