Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bf |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
256000500000000 = 28 · 35 · 59 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2184537600001,-1242760563676651852] |
[a1,a2,a3,a4,a6] |
j |
73787408641299636275795674005528576001/16384032000 |
j-invariant |
L |
1.2566364475994 |
L(r)(E,1)/r! |
Ω |
0.0039269888995134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030o3 |
Quadratic twists by: 5 |