Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bw |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
1552770000 = 24 · 37 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750,-7675] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:9:1] |
Generators of the group modulo torsion |
j |
6400000/213 |
j-invariant |
L |
6.8150217031892 |
L(r)(E,1)/r! |
Ω |
0.91415605852948 |
Real period |
R |
0.93187340354646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999944407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600c1 127800s1 |
Quadratic twists by: -3 5 |