Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20916l |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-182973168 = -1 · 24 · 39 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2145,-38243] |
[a1,a2,a3,a4,a6] |
Generators |
[466:1485:8] |
Generators of the group modulo torsion |
j |
-93574624000/15687 |
j-invariant |
L |
5.4806181664338 |
L(r)(E,1)/r! |
Ω |
0.35075863150686 |
Real period |
R |
3.9062603697656 |
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 |
83664bk1 6972b1 |
Quadratic twists by: -4 -3 |