Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570u |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-266053712080 = -1 · 24 · 5 · 137 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 5 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22396,1288416] |
[a1,a2,a3,a4,a6] |
Generators |
[40:656:1] |
Generators of the group modulo torsion |
j |
-257380823881/55120 |
j-invariant |
L |
8.0461308495734 |
L(r)(E,1)/r! |
Ω |
0.95382716741842 |
Real period |
R |
0.52722672977265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890d1 |
Quadratic twists by: 13 |