Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966a |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-212330034 = -1 · 2 · 32 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -6 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,526] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] |
Generators of the group modulo torsion |
j |
16807/18 |
j-invariant |
L |
3.1854644126446 |
L(r)(E,1)/r! |
Ω |
1.1776452534253 |
Real period |
R |
0.67623598976683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966bt1 84966bj1 |
Quadratic twists by: -7 17 |