Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624ba |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
994237684383744 = 232 · 32 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82624,-9042124] |
[a1,a2,a3,a4,a6] |
Generators |
[12873:209440:27] |
Generators of the group modulo torsion |
j |
15229570973927617/242733809664 |
j-invariant |
L |
8.169723133081 |
L(r)(E,1)/r! |
Ω |
0.28186563689861 |
Real period |
R |
7.2461148717389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078f1 |
Quadratic twists by: -4 |