Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984y |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4352818176 = -1 · 210 · 36 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-464,4836] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-36:1] [-8:90:1] |
Generators of the group modulo torsion |
j |
-31522396/12393 |
j-invariant |
L |
9.5170075016998 |
L(r)(E,1)/r! |
Ω |
1.2973319010065 |
Real period |
R |
0.61131924518287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992i1 119952w1 39984d1 |
Quadratic twists by: -4 -3 -7 |