Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bq |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-15509200896 = -1 · 213 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,9882] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:126:1] |
Generators of the group modulo torsion |
j |
-15438249/5194 |
j-invariant |
L |
7.8412303189261 |
L(r)(E,1)/r! |
Ω |
1.1727451070068 |
Real period |
R |
0.83577734326651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6678m1 5936n1 |
Quadratic twists by: -4 -3 |