Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328i |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2342486016 = 215 · 32 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32072,-2200080] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2640:1] |
Generators of the group modulo torsion |
j |
890749187850313/571896 |
j-invariant |
L |
4.9076506290651 |
L(r)(E,1)/r! |
Ω |
0.3567524235902 |
Real period |
R |
3.4391151289714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3666g2 117312db2 87984bc2 |
Quadratic twists by: -4 8 -3 |