Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272bd |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3665575936 = 214 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2524,-48720] |
[a1,a2,a3,a4,a6] |
Generators |
[-3959130:-662480:132651] |
Generators of the group modulo torsion |
j |
108535503312/223729 |
j-invariant |
L |
6.1043824747844 |
L(r)(E,1)/r! |
Ω |
0.67364486104162 |
Real period |
R |
9.0617220256763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30272d2 7568a2 |
Quadratic twists by: -4 8 |