Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bu |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-10601992800 = -1 · 25 · 36 · 52 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,157,4961] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:58:1] |
Generators of the group modulo torsion |
j |
17112354215/424079712 |
j-invariant |
L |
7.7688723271215 |
L(r)(E,1)/r! |
Ω |
0.9624904409406 |
Real period |
R |
0.80716358278372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bk1 |
Quadratic twists by: 5 |