Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960u |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2300432400000000 = 210 · 36 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38667,1799926] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1440:1] |
Generators of the group modulo torsion |
j |
8564808605476/3081640625 |
j-invariant |
L |
7.3773900436473 |
L(r)(E,1)/r! |
Ω |
0.42211036601319 |
Real period |
R |
2.1846745062602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bz1 6440f1 |
Quadratic twists by: -4 -3 |