Atkin-Lehner |
3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56169a |
Isogeny class |
Conductor |
56169 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18096 |
Modular degree for the optimal curve |
Δ |
-1051652187 = -1 · 33 · 794 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 0 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,1560] |
[a1,a2,a3,a4,a6] |
Generators |
[12324:171003:64] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.2466091134586 |
L(r)(E,1)/r! |
Ω |
1.2351697391202 |
Real period |
R |
5.1571160370681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56169a2 56169b1 |
Quadratic twists by: -3 -79 |