Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23904d |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-26677294272 = -1 · 26 · 36 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549,9288] |
[a1,a2,a3,a4,a6] |
j |
-392223168/571787 |
j-invariant |
L |
2.1366189992333 |
L(r)(E,1)/r! |
Ω |
1.0683094996166 |
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 |
23904i1 47808ca1 2656f1 |
Quadratic twists by: -4 8 -3 |