Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786cj |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
21329526779824032 = 25 · 33 · 73 · 112 · 296 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71380,-2152459] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:861:1] |
Generators of the group modulo torsion |
j |
117262622647575847/62185209270624 |
j-invariant |
L |
5.0217993545925 |
L(r)(E,1)/r! |
Ω |
0.31015685278451 |
Real period |
R |
0.53970534614827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93786de2 |
Quadratic twists by: -7 |