Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8217i |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-9744712857 = -1 · 36 · 115 · 83 |
Discriminant |
Eigenvalues |
1 3- 0 -1 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1032,13877] |
[a1,a2,a3,a4,a6] |
Generators |
[4:97:1] |
Generators of the group modulo torsion |
j |
-166829162625/13367233 |
j-invariant |
L |
4.9114813065797 |
L(r)(E,1)/r! |
Ω |
1.2661862084074 |
Real period |
R |
0.38789565657624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
913a1 90387s1 |
Quadratic twists by: -3 -11 |