Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456t |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
540836352 = 29 · 38 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1744,-28600] |
[a1,a2,a3,a4,a6] |
j |
1146415874696/1056321 |
j-invariant |
L |
2.9551273397615 |
L(r)(E,1)/r! |
Ω |
0.73878183494038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15456l3 30912bn4 46368y4 108192bf4 |
Quadratic twists by: -4 8 -3 -7 |