Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240u |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18379474176000 = 211 · 3 · 53 · 7 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112616,14507220] |
[a1,a2,a3,a4,a6] |
Generators |
[5457:5608:27] |
Generators of the group modulo torsion |
j |
77125485169542098/8974352625 |
j-invariant |
L |
8.3696925713736 |
L(r)(E,1)/r! |
Ω |
0.66226490790083 |
Real period |
R |
6.3189914417797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120c4 |
Quadratic twists by: -4 |