Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966c |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
2490813591373410156 = 22 · 37 · 74 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-446366,85894488] |
[a1,a2,a3,a4,a6] |
Generators |
[162:4146:1] |
Generators of the group modulo torsion |
j |
34543481/8748 |
j-invariant |
L |
5.8218103970608 |
L(r)(E,1)/r! |
Ω |
0.24111016773691 |
Real period |
R |
6.0364629746027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966ch1 84966bp1 |
Quadratic twists by: -7 17 |