Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424b |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7551488 = 29 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,71016] |
[a1,a2,a3,a4,a6] |
j |
20796875000/43 |
j-invariant |
L |
4.037772263913 |
L(r)(E,1)/r! |
Ω |
2.018886135889 |
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 |
67424j2 67424c2 |
Quadratic twists by: -4 -7 |