Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368a |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
150470656 = 219 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 0 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-577] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
1771561/574 |
j-invariant |
L |
4.9439651831608 |
L(r)(E,1)/r! |
Ω |
1.37408030525 |
Real period |
R |
1.7990088222178 |
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 |
18368z1 574a1 128576bj1 |
Quadratic twists by: -4 8 -7 |