Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168j |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[13:3792:1] |
Generators of the group modulo torsion |
j |
-1402386001982788/786063417597 |
j-invariant |
L |
5.0014433574577 |
L(r)(E,1)/r! |
Ω |
0.33007354259177 |
Real period |
R |
1.2627093440515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168d1 3792b1 45504bz1 |
Quadratic twists by: -4 8 -3 |