Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23904f |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-542018801664 = -1 · 212 · 313 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 5 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5916,-178688] |
[a1,a2,a3,a4,a6] |
j |
-7668682048/181521 |
j-invariant |
L |
2.174426575985 |
L(r)(E,1)/r! |
Ω |
0.27180332199811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23904l1 47808cc1 7968i1 |
Quadratic twists by: -4 8 -3 |