Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480n |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-19828800000 = -1 · 29 · 36 · 55 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,4246] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:50:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
5.5539401744145 |
L(r)(E,1)/r! |
Ω |
0.79870166758085 |
Real period |
R |
0.6953710502742 |
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 |
24480be1 48960bo1 2720e1 122400dp1 |
Quadratic twists by: -4 8 -3 5 |