Atkin-Lehner |
2+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4216b |
Isogeny class |
Conductor |
4216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
496 |
Modular degree for the optimal curve |
Δ |
-8432 = -1 · 24 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3 0 4 -1 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-1] |
[a1,a2,a3,a4,a6] |
j |
864000/527 |
j-invariant |
L |
4.792283981052 |
L(r)(E,1)/r! |
Ω |
2.396141990526 |
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 |
8432b1 33728e1 37944o1 105400s1 |
Quadratic twists by: -4 8 -3 5 |