Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bb |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-880275937500 = -1 · 22 · 33 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5313,153531] |
[a1,a2,a3,a4,a6] |
Generators |
[270:811:8] |
Generators of the group modulo torsion |
j |
-1061520150601/56337660 |
j-invariant |
L |
7.4847159026637 |
L(r)(E,1)/r! |
Ω |
0.87678539506131 |
Real period |
R |
2.1341356575991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690o1 |
Quadratic twists by: 5 |