Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cf |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1762673003436441600 = 224 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1132161,-459628065] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:69825:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
7.3597136575065 |
L(r)(E,1)/r! |
Ω |
0.14645718369539 |
Real period |
R |
4.1876366592792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040ec2 1470m2 6720l2 |
Quadratic twists by: -4 8 -7 |