Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850cv |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-152164495312500 = -1 · 22 · 3 · 58 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6763,-631483] |
[a1,a2,a3,a4,a6] |
j |
-87576150865/389541108 |
j-invariant |
L |
4.3019519654964 |
L(r)(E,1)/r! |
Ω |
0.23899733143304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850d2 |
Quadratic twists by: 5 |