Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51471o |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-3127451100291 = -1 · 313 · 74 · 19 · 43 |
Discriminant |
Eigenvalues |
2 3- 1 7- 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1563,81693] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:59:8] |
Generators of the group modulo torsion |
j |
579259437056/4290056379 |
j-invariant |
L |
14.166460000882 |
L(r)(E,1)/r! |
Ω |
0.58173088291336 |
Real period |
R |
3.0440321325969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157l1 |
Quadratic twists by: -3 |