Atkin-Lehner |
3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29601j |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23657918427 = 37 · 112 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,3422] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:84:1] [-21:109:1] |
Generators of the group modulo torsion |
j |
66775173193/32452563 |
j-invariant |
L |
4.6559317510744 |
L(r)(E,1)/r! |
Ω |
1.0667438345529 |
Real period |
R |
0.54557753233074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867j2 |
Quadratic twists by: -3 |