Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200ch |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1108080000000 = 210 · 36 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-456075,-118550250] |
[a1,a2,a3,a4,a6] |
Generators |
[835:9100:1] |
Generators of the group modulo torsion |
j |
899466517764/95 |
j-invariant |
L |
6.5570331140694 |
L(r)(E,1)/r! |
Ω |
0.18371325446555 |
Real period |
R |
4.4614589276269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400bx4 3800a4 6840d3 |
Quadratic twists by: -4 -3 5 |