Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dv |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-27829165056 = -1 · 210 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,8007] |
[a1,a2,a3,a4,a6] |
j |
-256/231 |
j-invariant |
L |
1.9115961008021 |
L(r)(E,1)/r! |
Ω |
0.95579808823249 |
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 |
103488fi1 12936m1 14784h1 |
Quadratic twists by: -4 8 -7 |