Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150ce |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
384334666625000000 = 26 · 59 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-224013,27758531] |
[a1,a2,a3,a4,a6] |
Generators |
[99:2512:1] |
Generators of the group modulo torsion |
j |
131872229/40768 |
j-invariant |
L |
13.962957422696 |
L(r)(E,1)/r! |
Ω |
0.27847914928302 |
Real period |
R |
4.1783371869223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150bb1 4550n1 |
Quadratic twists by: 5 13 |