Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720ct |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-543761222860800 = -1 · 219 · 35 · 52 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20400,-25452] |
[a1,a2,a3,a4,a6] |
Generators |
[36:870:1] |
Generators of the group modulo torsion |
j |
229209691863599/132754204800 |
j-invariant |
L |
8.5644568206563 |
L(r)(E,1)/r! |
Ω |
0.30908380527528 |
Real period |
R |
0.46181956018036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090w1 |
Quadratic twists by: -4 |