Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cy |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
845824 |
Modular degree for the optimal curve |
Δ |
-84519704199168 = -1 · 217 · 33 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1343340,599276368] |
[a1,a2,a3,a4,a6] |
Generators |
[656:588:1] |
Generators of the group modulo torsion |
j |
-75754399836615750/23882747 |
j-invariant |
L |
5.925217012736 |
L(r)(E,1)/r! |
Ω |
0.4882845623042 |
Real period |
R |
0.433384364594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999308526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928b1 29232d1 116928dc1 |
Quadratic twists by: -4 8 -3 |