Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480bj |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-66244848192000 = -1 · 29 · 36 · 53 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48987,4191534] |
[a1,a2,a3,a4,a6] |
Generators |
[133:170:1] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
5.5985824551547 |
L(r)(E,1)/r! |
Ω |
0.6224494614037 |
Real period |
R |
0.29981456607091 |
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 |
24480t1 48960cg1 2720a1 122400t1 |
Quadratic twists by: -4 8 -3 5 |