Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cp |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-170583349356000000 = -1 · 28 · 311 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16967,19847437] |
[a1,a2,a3,a4,a6] |
Generators |
[351:8302:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
4.7046303735313 |
L(r)(E,1)/r! |
Ω |
0.24954070493952 |
Real period |
R |
4.7132895355021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2856b1 |
Quadratic twists by: 5 |