Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056o |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7604741376 = 28 · 37 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 3 5 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,7036] |
[a1,a2,a3,a4,a6] |
Generators |
[50:306:1] |
Generators of the group modulo torsion |
j |
268435456/40749 |
j-invariant |
L |
7.9332970316027 |
L(r)(E,1)/r! |
Ω |
1.2637425693515 |
Real period |
R |
0.78470263484937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28764b1 38352w1 |
Quadratic twists by: -4 -3 |