Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425x |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-3820648193359375 = -1 · 516 · 73 · 73 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182026,30023823] |
[a1,a2,a3,a4,a6] |
Generators |
[7886:223553:8] |
Generators of the group modulo torsion |
j |
-124453298960983/712890625 |
j-invariant |
L |
5.0325790634549 |
L(r)(E,1)/r! |
Ω |
0.44401944492916 |
Real period |
R |
5.6670705855147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17885e1 89425i1 |
Quadratic twists by: 5 -7 |