Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cs |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
308572031250000 = 24 · 38 · 510 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-643188,-198595008] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:240:1] |
Generators of the group modulo torsion |
j |
1883291419797411961/19748610000 |
j-invariant |
L |
10.040663445789 |
L(r)(E,1)/r! |
Ω |
0.16858360676482 |
Real period |
R |
1.8612173431485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030g3 |
Quadratic twists by: 5 |