Atkin-Lehner |
2+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89146b |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-252205088104 = -1 · 23 · 296 · 53 |
Discriminant |
Eigenvalues |
2+ 2 3 2 3 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,824,22728] |
[a1,a2,a3,a4,a6] |
Generators |
[248025:3005769:15625] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
9.8571882150767 |
L(r)(E,1)/r! |
Ω |
0.70300226533327 |
Real period |
R |
7.0107798272166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106a1 |
Quadratic twists by: 29 |