Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760u |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
19128960000 = 210 · 36 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,3422] |
[a1,a2,a3,a4,a6] |
j |
55990084/25625 |
j-invariant |
L |
2.1881556851015 |
L(r)(E,1)/r! |
Ω |
1.0940778425508 |
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 |
29520q1 118080cy1 1640c1 73800bb1 |
Quadratic twists by: -4 8 -3 5 |