Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864ba |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3684248064 = 29 · 34 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31984,2191016] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1218:1] |
Generators of the group modulo torsion |
j |
7067497440705416/7195797 |
j-invariant |
L |
5.7592250030161 |
L(r)(E,1)/r! |
Ω |
1.1764307778609 |
Real period |
R |
2.4477534553661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24864p4 49728dm4 74592s4 |
Quadratic twists by: -4 8 -3 |