Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424s |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4735011969073152 = -1 · 215 · 38 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31777,-3953567] |
[a1,a2,a3,a4,a6] |
j |
-108299418804296/144501097689 |
j-invariant |
L |
1.3630231091514 |
L(r)(E,1)/r! |
Ω |
0.17037788856236 |
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 |
47424bz3 23712h2 |
Quadratic twists by: -4 8 |