Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760g |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
184832000 = 212 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -5 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:20:1] |
Generators of the group modulo torsion |
j |
262656/125 |
j-invariant |
L |
4.4201456228426 |
L(r)(E,1)/r! |
Ω |
1.4249084973053 |
Real period |
R |
0.51700929463404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57760f1 115520bu1 57760l1 |
Quadratic twists by: -4 8 -19 |