Atkin-Lehner |
3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24453a |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-122270159583 = -1 · 38 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 0 4 11+ 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3222,-71577] |
[a1,a2,a3,a4,a6] |
j |
-5075146806625/167723127 |
j-invariant |
L |
2.5297532367069 |
L(r)(E,1)/r! |
Ω |
0.31621915458839 |
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 |
8151f1 |
Quadratic twists by: -3 |