Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730s |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
90881538503475200 = 218 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-376451,-87867551] |
[a1,a2,a3,a4,a6] |
j |
1222331589867961/18828492800 |
j-invariant |
L |
6.9451286296743 |
L(r)(E,1)/r! |
Ω |
0.19292023971316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210a1 |
Quadratic twists by: 13 |