Atkin-Lehner |
3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46023f |
Isogeny class |
Conductor |
46023 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
156700281547281 = 3 · 239 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 2 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17997,706200] |
[a1,a2,a3,a4,a6] |
Generators |
[19806641372665:114615741297427:147616524125] |
Generators of the group modulo torsion |
j |
357911/87 |
j-invariant |
L |
6.0068717808448 |
L(r)(E,1)/r! |
Ω |
0.54107153981648 |
Real period |
R |
22.203613898715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46023g1 |
Quadratic twists by: -23 |