Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456f |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
59364488203776 = 29 · 34 · 76 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128752,-17821060] |
[a1,a2,a3,a4,a6] |
j |
461019267341732744/115946266023 |
j-invariant |
L |
4.5366976576542 |
L(r)(E,1)/r! |
Ω |
0.25203875875857 |
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 |
15456i2 30912p2 46368bo2 108192l2 |
Quadratic twists by: -4 8 -3 -7 |