Atkin-Lehner |
3+ 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73425g |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-13784396484375 = -1 · 34 · 59 · 11 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1388,179156] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-413:1] [-16:452:1] |
Generators of the group modulo torsion |
j |
-151419437/7057611 |
j-invariant |
L |
5.618916130871 |
L(r)(E,1)/r! |
Ω |
0.58556320966441 |
Real period |
R |
4.797873259627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73425p1 |
Quadratic twists by: 5 |