Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150bd |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
571200 |
Modular degree for the optimal curve |
Δ |
276974401536000000 = 217 · 35 · 56 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274751,-49333102] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:2329:1] |
Generators of the group modulo torsion |
j |
146797702716641761/17726361698304 |
j-invariant |
L |
5.3560349035519 |
L(r)(E,1)/r! |
Ω |
0.21017645889422 |
Real period |
R |
5.0967029625752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806i1 |
Quadratic twists by: 5 |