Atkin-Lehner |
2+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450m |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2710320312500 = 22 · 59 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4201,-68952] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:136:1] |
Generators of the group modulo torsion |
j |
4196653397/1387684 |
j-invariant |
L |
3.1965254088368 |
L(r)(E,1)/r! |
Ω |
0.60873805655298 |
Real period |
R |
1.3127671970015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29450w2 |
Quadratic twists by: 5 |