Atkin-Lehner |
7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563d |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-2972123 = -1 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
-2 -1 -4 7+ 11- 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40,142] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-6:1] [-2:14:1] |
Generators of the group modulo torsion |
j |
-495616/203 |
j-invariant |
L |
2.4739583594116 |
L(r)(E,1)/r! |
Ω |
2.378428972876 |
Real period |
R |
0.34672163679239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24563i1 |
Quadratic twists by: -11 |