Atkin-Lehner |
3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239o |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8664316621100721 = 36 · 76 · 192 · 234 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-277292,-56046705] |
[a1,a2,a3,a4,a6] |
Generators |
[-311:523:1] |
Generators of the group modulo torsion |
j |
20042301472793137/73645476129 |
j-invariant |
L |
5.5341006565336 |
L(r)(E,1)/r! |
Ω |
0.20809477891419 |
Real period |
R |
2.2161779219123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1311a2 |
Quadratic twists by: -7 |