Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20916a |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-250992 = -1 · 24 · 33 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] [1:5:1] |
Generators of the group modulo torsion |
j |
864000/581 |
j-invariant |
L |
7.1505276832727 |
L(r)(E,1)/r! |
Ω |
1.9593913952593 |
Real period |
R |
0.60822693044497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664bh1 20916d1 |
Quadratic twists by: -4 -3 |