Atkin-Lehner |
2- 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123284d |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-318397061464832 = -1 · 28 · 711 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 1 4 7- 4 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13459,617567] |
[a1,a2,a3,a4,a6] |
j |
8951619584/10571603 |
j-invariant |
L |
6.5312172905831 |
L(r)(E,1)/r! |
Ω |
0.36284542197091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17612a1 |
Quadratic twists by: -7 |