Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550di |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-407312500000 = -1 · 25 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2388,-54608] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-926:1] |
Generators of the group modulo torsion |
j |
-2248091/608 |
j-invariant |
L |
6.3111015816177 |
L(r)(E,1)/r! |
Ω |
0.33672855715999 |
Real period |
R |
0.9371200403762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bn1 46550cz1 |
Quadratic twists by: 5 -7 |