Atkin-Lehner |
2- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120da |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-64061440 = -1 · 215 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -6 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,4735] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:81:1] [3:56:1] |
Generators of the group modulo torsion |
j |
-547343432/1955 |
j-invariant |
L |
8.8953765057112 |
L(r)(E,1)/r! |
Ω |
1.972128435218 |
Real period |
R |
1.1276365614168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120dh1 62560b1 |
Quadratic twists by: -4 8 |