Atkin-Lehner |
2+ 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448v |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2813440 |
Modular degree for the optimal curve |
Δ |
-1517934487786838784 = -1 · 28 · 36 · 1310 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 6 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2134791,1202014998] |
[a1,a2,a3,a4,a6] |
j |
-5765305272706770768/8133651019091 |
j-invariant |
L |
5.3557375872878 |
L(r)(E,1)/r! |
Ω |
0.26778689840723 |
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 |
55224r1 12272c1 |
Quadratic twists by: -4 -3 |