Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bz |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
5120 |
Product of Tamagawa factors cp |
Δ |
1.4271213368414E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4823825,-3650834775] |
[a1,a2,a3,a4,a6] |
Generators |
[-1550:10915:1] |
Generators of the group modulo torsion |
j |
12413617222436918653510801/1427121336841430630400 |
j-invariant |
L |
10.771044684434 |
L(r)(E,1)/r! |
Ω |
0.10263437315755 |
Real period |
R |
1.3118222912391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
90090s2 |
Quadratic twists by: -3 |