Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432i |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12180575232 = 210 · 38 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-600,1764] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:54:1] [-18:84:1] |
Generators of the group modulo torsion |
j |
23366901604/11895093 |
j-invariant |
L |
5.9790725384917 |
L(r)(E,1)/r! |
Ω |
1.1196095278426 |
Real period |
R |
0.33376996565574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6216p2 49728di2 37296l2 87024l2 |
Quadratic twists by: -4 8 -3 -7 |