Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bo |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2642074584960937500 = 22 · 33 · 518 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92355338,341579801531] |
[a1,a2,a3,a4,a6] |
Generators |
[11401:-883615:1] |
Generators of the group modulo torsion |
j |
5575575391612718387404249/169092773437500 |
j-invariant |
L |
6.4610407821942 |
L(r)(E,1)/r! |
Ω |
0.18771969485703 |
Real period |
R |
8.6046389357471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490g4 |
Quadratic twists by: 5 |