Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bj |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
53697812889600 = 220 · 34 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19126,947123] |
[a1,a2,a3,a4,a6] |
Generators |
[17:783:1] |
Generators of the group modulo torsion |
j |
581325709271579/40343961600 |
j-invariant |
L |
7.4677892597274 |
L(r)(E,1)/r! |
Ω |
0.61789479703401 |
Real period |
R |
0.3021464695915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68970a1 |
Quadratic twists by: -11 |