Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232t |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-374038305984 = -1 · 26 · 38 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37751,2835969] |
[a1,a2,a3,a4,a6] |
Generators |
[80:567:1] |
Generators of the group modulo torsion |
j |
-92969527379908096/5844348531 |
j-invariant |
L |
4.8937222192484 |
L(r)(E,1)/r! |
Ω |
0.90392241524544 |
Real period |
R |
0.54138741745324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bg1 35616i1 |
Quadratic twists by: -4 8 |