Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272c |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
333234176 = 214 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,-175] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:280:27] |
Generators of the group modulo torsion |
j |
37642192/20339 |
j-invariant |
L |
10.184880069715 |
L(r)(E,1)/r! |
Ω |
1.3938928520259 |
Real period |
R |
3.6533941812357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30272bj2 1892e2 |
Quadratic twists by: -4 8 |