Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824g |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
26187115698432 = 28 · 36 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12711,-493594] |
[a1,a2,a3,a4,a6] |
j |
1217013440848/140320193 |
j-invariant |
L |
0.90601633941639 |
L(r)(E,1)/r! |
Ω |
0.45300816970782 |
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 |
15912c1 127296cy1 3536d1 |
Quadratic twists by: -4 8 -3 |