Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912f |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
955551744 = 212 · 32 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-649,6409] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:112:1] [-8:105:1] |
Generators of the group modulo torsion |
j |
7392083392/233289 |
j-invariant |
L |
6.3798424120209 |
L(r)(E,1)/r! |
Ω |
1.5593692816135 |
Real period |
R |
2.0456483551544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30912z2 15456d1 92736bd2 |
Quadratic twists by: -4 8 -3 |