Atkin-Lehner |
2+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76096d |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-12779257856 = -1 · 218 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 -1 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2017,-35969] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4756:1] |
Generators of the group modulo torsion |
j |
-3463512697/48749 |
j-invariant |
L |
4.5423831186012 |
L(r)(E,1)/r! |
Ω |
0.35588657479573 |
Real period |
R |
3.1908924357105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76096k1 1189a1 |
Quadratic twists by: -4 8 |