Atkin-Lehner |
2- 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
54036h |
Isogeny class |
Conductor |
54036 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-15966989568 = -1 · 28 · 37 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 3 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2991,63254] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-18:1] [-41:342:1] |
Generators of the group modulo torsion |
j |
-15856431568/85557 |
j-invariant |
L |
9.0066124267064 |
L(r)(E,1)/r! |
Ω |
1.2463097778861 |
Real period |
R |
0.30110934250711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18012a1 |
Quadratic twists by: -3 |