Atkin-Lehner |
2+ 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670ba |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4875528963600 = 24 · 38 · 52 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5634,124740] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:252:1] |
Generators of the group modulo torsion |
j |
27132516207649/6687968400 |
j-invariant |
L |
5.1793434879793 |
L(r)(E,1)/r! |
Ω |
0.72198442227155 |
Real period |
R |
1.7934401926338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999276937 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40890bb2 |
Quadratic twists by: -3 |