Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664by |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
83939306766336 = 220 · 39 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12099,260930] |
[a1,a2,a3,a4,a6] |
j |
65597103937/28111104 |
j-invariant |
L |
4.3823410444326 |
L(r)(E,1)/r! |
Ω |
0.54779263610731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10458k1 27888bd1 |
Quadratic twists by: -4 -3 |