Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10115b |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-14361853555 = -1 · 5 · 7 · 177 |
Discriminant |
Eigenvalues |
2 -2 5+ 7+ 2 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96,5745] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:285:8] |
Generators of the group modulo torsion |
j |
-4096/595 |
j-invariant |
L |
5.413823787956 |
L(r)(E,1)/r! |
Ω |
1.0238284989259 |
Real period |
R |
1.3219557263828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035bk1 50575s1 70805bk1 595c1 |
Quadratic twists by: -3 5 -7 17 |