Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bq |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-3554131895202672 = -1 · 24 · 314 · 74 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17834,-3006759] |
[a1,a2,a3,a4,a6] |
Generators |
[243:2517:1] |
Generators of the group modulo torsion |
j |
-860438115607897/4875352393968 |
j-invariant |
L |
12.977276849843 |
L(r)(E,1)/r! |
Ω |
0.18532448610833 |
Real period |
R |
2.1882693968813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28014d1 |
Quadratic twists by: -3 |