Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830bk |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-22933241856000 = -1 · 218 · 33 · 53 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-480,230400] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:240:1] |
Generators of the group modulo torsion |
j |
-12232183057921/22933241856000 |
j-invariant |
L |
6.537402221606 |
L(r)(E,1)/r! |
Ω |
0.54428260800526 |
Real period |
R |
0.66728020879171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38640by1 14490r1 24150h1 33810cd1 |
Quadratic twists by: -4 -3 5 -7 |