Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
666f |
Isogeny class |
Conductor |
666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-186437376 = -1 · 28 · 39 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,139,141] |
[a1,a2,a3,a4,a6] |
j |
410172407/255744 |
j-invariant |
L |
2.2246573039018 |
L(r)(E,1)/r! |
Ω |
1.1123286519509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5328v1 21312m1 222c1 16650i1 |
Quadratic twists by: -4 8 -3 5 |