Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fs |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
90371418633216 = 210 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16464,672280] |
[a1,a2,a3,a4,a6] |
j |
16384/3 |
j-invariant |
L |
2.2958301090216 |
L(r)(E,1)/r! |
Ω |
0.57395752725528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224bv1 7056bv1 9408cy1 28224gc1 |
Quadratic twists by: -4 8 -3 -7 |