Atkin-Lehner |
2+ 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bi |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-2348760000000000 = -1 · 212 · 3 · 510 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17249,-2161102] |
[a1,a2,a3,a4,a6] |
Generators |
[1166352:20244151:4096] |
Generators of the group modulo torsion |
j |
36327176624159/150320640000 |
j-invariant |
L |
6.2372788116485 |
L(r)(E,1)/r! |
Ω |
0.23284654628229 |
Real period |
R |
6.6967696965084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530z1 |
Quadratic twists by: 5 |