Atkin-Lehner |
3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55575be |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1336405078125 = -1 · 36 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 -5 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2180,68572] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:140:1] [25:-184:1] |
Generators of the group modulo torsion |
j |
-4021785/4693 |
j-invariant |
L |
6.0589567892643 |
L(r)(E,1)/r! |
Ω |
0.77660836302338 |
Real period |
R |
0.65015146605737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175h1 55575h1 |
Quadratic twists by: -3 5 |