Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bg |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
840051634558928480 = 25 · 5 · 138 · 235 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256912,-23760109] |
[a1,a2,a3,a4,a6] |
Generators |
[-55805:195853:125] |
Generators of the group modulo torsion |
j |
2298944458161/1029814880 |
j-invariant |
L |
10.007993821372 |
L(r)(E,1)/r! |
Ω |
0.22111068577578 |
Real period |
R |
9.052474136434 |
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 |
38870a1 |
Quadratic twists by: 13 |