Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440x |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
24354432000 = 210 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10947,-440786] |
[a1,a2,a3,a4,a6] |
j |
194348673796/32625 |
j-invariant |
L |
2.8004730668827 |
L(r)(E,1)/r! |
Ω |
0.46674551114711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880t1 83520br1 3480h1 52200i1 |
Quadratic twists by: -4 8 -3 5 |