Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168d |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-51515452135636992 = -1 · 216 · 313 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 5 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94017,-15599457] |
[a1,a2,a3,a4,a6] |
j |
-1402386001982788/786063417597 |
j-invariant |
L |
3.4545918454281 |
L(r)(E,1)/r! |
Ω |
0.13286891713185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168j1 1896b1 45504r1 |
Quadratic twists by: -4 8 -3 |