Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272bc |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
484352 = 210 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 1 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-793,-8865] |
[a1,a2,a3,a4,a6] |
Generators |
[-2070:9:125] |
Generators of the group modulo torsion |
j |
53925088000/473 |
j-invariant |
L |
3.4672176868139 |
L(r)(E,1)/r! |
Ω |
0.89957185189207 |
Real period |
R |
3.8542976634067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272m1 7568m1 |
Quadratic twists by: -4 8 |