Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710l |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
250897254241075200 = 216 · 39 · 52 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-647280,199148800] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:17360:1] |
Generators of the group modulo torsion |
j |
41140837251274049281/344166329548800 |
j-invariant |
L |
3.1301125403648 |
L(r)(E,1)/r! |
Ω |
0.31318379508782 |
Real period |
R |
1.2493113426762 |
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 |
9570u1 |
Quadratic twists by: -3 |