Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560u |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
146281775738388480 = 239 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273243,51804682] |
[a1,a2,a3,a4,a6] |
Generators |
[49359:2031616:27] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
4.7024185472953 |
L(r)(E,1)/r! |
Ω |
0.32012012996279 |
Real period |
R |
3.6723858538837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570t1 5840i1 |
Quadratic twists by: -4 -3 |