Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285i |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-2539557075 = -1 · 3 · 52 · 112 · 234 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 11+ 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-705,-7372] |
[a1,a2,a3,a4,a6] |
Generators |
[34:82:1] |
Generators of the group modulo torsion |
j |
-138674176/9075 |
j-invariant |
L |
3.4920947607404 |
L(r)(E,1)/r! |
Ω |
0.46145807819275 |
Real period |
R |
1.8918808295119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87285c1 |
Quadratic twists by: -23 |