Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570d |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-6803321595200 = -1 · 26 · 52 · 134 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5074,186916] |
[a1,a2,a3,a4,a6] |
Generators |
[53:233:1] [-52:583:1] |
Generators of the group modulo torsion |
j |
-505683341449/238203200 |
j-invariant |
L |
7.9118781465411 |
L(r)(E,1)/r! |
Ω |
0.69880440699758 |
Real period |
R |
2.8305052414043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995561 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89570bc1 |
Quadratic twists by: 13 |