Atkin-Lehner |
2- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944w |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-2349948272 = -1 · 24 · 72 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7- -2 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138,-2461] |
[a1,a2,a3,a4,a6] |
j |
-18297184000/146871767 |
j-invariant |
L |
2.4525639822182 |
L(r)(E,1)/r! |
Ω |
0.6131409955452 |
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 |
12236a1 |
Quadratic twists by: -4 |