Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050r |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
81101250 = 2 · 36 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,1691] |
[a1,a2,a3,a4,a6] |
Generators |
[5:19:1] |
Generators of the group modulo torsion |
j |
4629825/178 |
j-invariant |
L |
4.7251274529287 |
L(r)(E,1)/r! |
Ω |
1.9096272096319 |
Real period |
R |
2.4743716622265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450p1 40050y1 |
Quadratic twists by: -3 5 |