Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675v |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-354930483919921875 = -1 · 36 · 59 · 74 · 473 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 0 7 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-256208,57474869] |
[a1,a2,a3,a4,a6] |
Generators |
[314:55121:8] |
Generators of the group modulo torsion |
j |
-952299216687104/181724407767 |
j-invariant |
L |
12.762810658955 |
L(r)(E,1)/r! |
Ω |
0.29053755408531 |
Real period |
R |
1.8303443736582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025bk1 24675o1 |
Quadratic twists by: -3 5 |