Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920cc |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70908614400 = 28 · 3 · 52 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35220,-2555832] |
[a1,a2,a3,a4,a6] |
Generators |
[-229306171986166400720:-10765994395600575753:2112524834467328000] |
Generators of the group modulo torsion |
j |
18874007902716496/276986775 |
j-invariant |
L |
10.730430500655 |
L(r)(E,1)/r! |
Ω |
0.34849902837808 |
Real period |
R |
30.790417165086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31980c2 |
Quadratic twists by: -4 |