Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272h |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
484352 = 210 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -2 3 11+ 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89,353] |
[a1,a2,a3,a4,a6] |
j |
76995328/473 |
j-invariant |
L |
2.9658415484324 |
L(r)(E,1)/r! |
Ω |
2.9658415484334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272bh1 1892d1 |
Quadratic twists by: -4 8 |