Atkin-Lehner |
3- 7+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29127d |
Isogeny class |
Conductor |
29127 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
729310953 = 3 · 74 · 19 · 732 |
Discriminant |
Eigenvalues |
1 3- 4 7+ -2 -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-379,-2551] |
[a1,a2,a3,a4,a6] |
j |
5997815120809/729310953 |
j-invariant |
L |
4.3639752508912 |
L(r)(E,1)/r! |
Ω |
1.0909938127228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87381e2 |
Quadratic twists by: -3 |