Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960p |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1540116018000 = 24 · 314 · 53 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60618,-5744167] |
[a1,a2,a3,a4,a6] |
Generators |
[-245652:30437:1728] |
Generators of the group modulo torsion |
j |
2111937254864896/132040125 |
j-invariant |
L |
5.029282947038 |
L(r)(E,1)/r! |
Ω |
0.304264148971 |
Real period |
R |
8.2646656924632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920s1 19320t1 |
Quadratic twists by: -4 -3 |