Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456i |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
8 |
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 |
1.2190916380174 |
L(r)(E,1)/r! |
Ω |
0.60954581900869 |
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 |
15456f2 30912u2 46368q2 108192bu2 |
Quadratic twists by: -4 8 -3 -7 |