Atkin-Lehner |
2+ 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486n |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
7544999674368 = 29 · 315 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5967,-116883] |
[a1,a2,a3,a4,a6] |
j |
32233334640625/10349793792 |
j-invariant |
L |
1.1140257121576 |
L(r)(E,1)/r! |
Ω |
0.55701285607879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162q1 |
Quadratic twists by: -3 |