Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bz |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
2560 |
Product of Tamagawa factors cp |
Δ |
9.6904873761641E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18622225,27061643945] |
[a1,a2,a3,a4,a6] |
Generators |
[-3928:200981:1] |
Generators of the group modulo torsion |
j |
714197659273717984740320401/96904873761641156090880 |
j-invariant |
L |
10.771044684434 |
L(r)(E,1)/r! |
Ω |
0.10263437315755 |
Real period |
R |
0.65591114561955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090s3 |
Quadratic twists by: -3 |