Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486c |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
40428882 = 2 · 39 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 6 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177,899] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:43:1] |
Generators of the group modulo torsion |
j |
31255875/2054 |
j-invariant |
L |
4.6802675465135 |
L(r)(E,1)/r! |
Ω |
2.0032005522959 |
Real period |
R |
1.168197448116 |
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 |
18486q1 |
Quadratic twists by: -3 |