Atkin-Lehner |
3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239p |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-237877017 = -1 · 3 · 73 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 6 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4152,102633] |
[a1,a2,a3,a4,a6] |
Generators |
[11:236:1] |
Generators of the group modulo torsion |
j |
-23078531131111/693519 |
j-invariant |
L |
6.1316373206647 |
L(r)(E,1)/r! |
Ω |
1.6395031277819 |
Real period |
R |
0.6233227226828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239g1 |
Quadratic twists by: -7 |