Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600g |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
222031250000 = 24 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12050,508625] |
[a1,a2,a3,a4,a6] |
Generators |
[20:525:1] |
Generators of the group modulo torsion |
j |
774006921216/888125 |
j-invariant |
L |
5.5113452705574 |
L(r)(E,1)/r! |
Ω |
0.99196796686556 |
Real period |
R |
1.3889927534577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200f1 8120i1 |
Quadratic twists by: -4 5 |