Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471f |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
33882690177 = 39 · 72 · 19 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4842,130599] |
[a1,a2,a3,a4,a6] |
Generators |
[78:2283:8] |
Generators of the group modulo torsion |
j |
17223483390625/46478313 |
j-invariant |
L |
7.1875072351303 |
L(r)(E,1)/r! |
Ω |
1.1680042424687 |
Real period |
R |
1.5384163374241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157i1 |
Quadratic twists by: -3 |