Atkin-Lehner |
2+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
44896a |
Isogeny class |
Conductor |
44896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30016 |
Modular degree for the optimal curve |
Δ |
-5746688 = -1 · 212 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 0 0 5 -3 -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3640,-84528] |
[a1,a2,a3,a4,a6] |
j |
-1302170688000/1403 |
j-invariant |
L |
0.6146447562023 |
L(r)(E,1)/r! |
Ω |
0.3073223780088 |
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 |
44896b1 89792f1 |
Quadratic twists by: -4 8 |