Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5244a |
Isogeny class |
Conductor |
5244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-54849034531584 = -1 · 28 · 310 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -3 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-517861,-143267183] |
[a1,a2,a3,a4,a6] |
j |
-59996263288753291264/214254041139 |
j-invariant |
L |
1.4237576720282 |
L(r)(E,1)/r! |
Ω |
0.088984854501763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976m1 83904l1 15732f1 99636b1 |
Quadratic twists by: -4 8 -3 -19 |