Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440q |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
8456400 = 24 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2178,-39123] |
[a1,a2,a3,a4,a6] |
Generators |
[54:27:1] |
Generators of the group modulo torsion |
j |
97960237056/725 |
j-invariant |
L |
4.121237083097 |
L(r)(E,1)/r! |
Ω |
0.69885210667261 |
Real period |
R |
2.9485759889307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880h1 83520cr1 1160c1 52200g1 |
Quadratic twists by: -4 8 -3 5 |