Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150cd |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
96083666656250000 = 24 · 59 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-202888,31772281] |
[a1,a2,a3,a4,a6] |
Generators |
[4845:26939:27] |
Generators of the group modulo torsion |
j |
97972181/10192 |
j-invariant |
L |
13.141720014815 |
L(r)(E,1)/r! |
Ω |
0.32754467624991 |
Real period |
R |
5.0152395106782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150ba1 4550m1 |
Quadratic twists by: 5 13 |