Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168k |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-172551168 = -1 · 210 · 33 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,693] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:28:1] |
Generators of the group modulo torsion |
j |
-35995648/168507 |
j-invariant |
L |
3.2922861152559 |
L(r)(E,1)/r! |
Ω |
1.5706289257253 |
Real period |
R |
2.0961578265443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15168e1 3792e1 45504bu1 |
Quadratic twists by: -4 8 -3 |