Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200f |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
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 |
[435:8750:1] [7155:605150:1] |
Generators of the group modulo torsion |
j |
774006921216/888125 |
j-invariant |
L |
9.6698370623937 |
L(r)(E,1)/r! |
Ω |
0.45570386734553 |
Real period |
R |
10.609781653321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600g1 16240h1 |
Quadratic twists by: -4 5 |