Atkin-Lehner |
2+ 3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010x |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-126734941406250 = -1 · 2 · 38 · 510 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6264,-572702] |
[a1,a2,a3,a4,a6] |
Generators |
[587:13769:1] |
Generators of the group modulo torsion |
j |
-37289832236929/173847656250 |
j-invariant |
L |
6.5501060172679 |
L(r)(E,1)/r! |
Ω |
0.24306822331974 |
Real period |
R |
1.3473801576497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670q1 |
Quadratic twists by: -3 |