Atkin-Lehner |
3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989k |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-929251416429 = -1 · 39 · 75 · 532 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 3 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2099,-59514] |
[a1,a2,a3,a4,a6] |
j |
-364101292153/330812181 |
j-invariant |
L |
3.0589080040438 |
L(r)(E,1)/r! |
Ω |
0.3398786674916 |
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 |
58989d1 |
Quadratic twists by: 53 |