Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bu |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
66865412084625 = 310 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7162952,-7377016174] |
[a1,a2,a3,a4,a6] |
Generators |
[3216:51694:1] |
Generators of the group modulo torsion |
j |
473897054735271721/779625 |
j-invariant |
L |
3.4864715057341 |
L(r)(E,1)/r! |
Ω |
0.092284029476327 |
Real period |
R |
6.2966321213583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085n1 121275ed1 3465k1 |
Quadratic twists by: -3 5 -7 |