Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bh |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-233308160000000 = -1 · 225 · 57 · 89 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -3 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4925,-722750] |
[a1,a2,a3,a4,a6] |
Generators |
[545:12800:1] |
Generators of the group modulo torsion |
j |
206425071/3645440 |
j-invariant |
L |
3.2571964679141 |
L(r)(E,1)/r! |
Ω |
0.27166452039089 |
Real period |
R |
0.74936093587666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450d1 7120m1 |
Quadratic twists by: -4 5 |