Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48880t |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-3573917900800 = -1 · 213 · 52 · 135 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1760,94708] |
[a1,a2,a3,a4,a6] |
Generators |
[66:520:1] |
Generators of the group modulo torsion |
j |
-147281603041/872538550 |
j-invariant |
L |
3.7512098250123 |
L(r)(E,1)/r! |
Ω |
0.6819311030215 |
Real period |
R |
0.13752158423228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6110d1 |
Quadratic twists by: -4 |