Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150l |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1647432704400000000 = 210 · 3 · 58 · 74 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-958750,355616500] |
[a1,a2,a3,a4,a6] |
j |
6237643138951442401/105435693081600 |
j-invariant |
L |
2.1342478246227 |
L(r)(E,1)/r! |
Ω |
0.26678097818175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bl1 |
Quadratic twists by: 5 |