Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
59150d |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
33641562500 = 22 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1442,-18784] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:38:1] [-178:439:8] |
Generators of the group modulo torsion |
j |
9663597/980 |
j-invariant |
L |
7.3056096863569 |
L(r)(E,1)/r! |
Ω |
0.77978489824665 |
Real period |
R |
1.1710937373212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830r1 59150ca1 |
Quadratic twists by: 5 13 |