Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14760o |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
502434090000000000 = 210 · 36 · 510 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-281763,46378062] |
[a1,a2,a3,a4,a6] |
Generators |
[-119031:11204208:1331] |
Generators of the group modulo torsion |
j |
3313966509875844/673056640625 |
j-invariant |
L |
5.0493677742865 |
L(r)(E,1)/r! |
Ω |
0.27851067205254 |
Real period |
R |
9.0649448674159 |
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 |
29520h1 118080ca1 1640d1 73800p1 |
Quadratic twists by: -4 8 -3 5 |