Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290p |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
106283114496000 = 216 · 36 · 53 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-417885,-103870459] |
[a1,a2,a3,a4,a6] |
j |
11070496924384049361/145793024000 |
j-invariant |
L |
1.5021926770515 |
L(r)(E,1)/r! |
Ω |
0.18777408462695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810h1 |
Quadratic twists by: -3 |