Atkin-Lehner |
2- 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570z |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
5448780023398400 = 216 · 52 · 137 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46225,1401967] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:2336:1] |
Generators of the group modulo torsion |
j |
2263054145689/1128857600 |
j-invariant |
L |
16.730859784674 |
L(r)(E,1)/r! |
Ω |
0.37981179636542 |
Real period |
R |
2.7531497075114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890a1 |
Quadratic twists by: 13 |