Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279z |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
490 |
Product of Tamagawa factors cp |
deg |
9878400 |
Modular degree for the optimal curve |
Δ |
7.7472640129842E+25 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120256011,279794071739] |
[a1,a2,a3,a4,a6] |
Generators |
[579:458650:1] |
Generators of the group modulo torsion |
j |
108564537417325852524544/43731285645734113581 |
j-invariant |
L |
6.0705095936104 |
L(r)(E,1)/r! |
Ω |
0.055472917260059 |
Real period |
R |
0.2233305133555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389c1 |
Quadratic twists by: -11 |