Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792ct |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-436416446870208 = -1 · 26 · 36 · 76 · 433 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-379253,89775585] |
[a1,a2,a3,a4,a6] |
Generators |
[-680:5805:1] [256:3087:1] |
Generators of the group modulo torsion |
j |
-94260981564964864000/6819006982347 |
j-invariant |
L |
11.135208344173 |
L(r)(E,1)/r! |
Ω |
0.50342864571985 |
Real period |
R |
0.61440950077721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792q2 14448k2 |
Quadratic twists by: -4 8 |