Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200ci |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
1152960200000000 = 29 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42875,3001250] |
[a1,a2,a3,a4,a6] |
Generators |
[98:12593:8] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
5.782253948846 |
L(r)(E,1)/r! |
Ω |
0.4699461043803 |
Real period |
R |
4.1013596346118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200cj1 78400jl1 39200a1 39200cp1 |
Quadratic twists by: -4 8 5 -7 |