Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272bc |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
108363588608 = 210 · 113 · 433 |
Discriminant |
Eigenvalues |
2- -2 0 1 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1193,559] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:129:1] |
Generators of the group modulo torsion |
j |
183530848000/105823817 |
j-invariant |
L |
3.4672176868139 |
L(r)(E,1)/r! |
Ω |
0.89957185189207 |
Real period |
R |
1.2847658878022 |
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 |
30272m2 7568m2 |
Quadratic twists by: -4 8 |