Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
128260c |
Isogeny class |
Conductor |
128260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
549873401541200 = 24 · 52 · 1110 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48561,-3945214] |
[a1,a2,a3,a4,a6] |
Generators |
[47810:10453674:1] |
Generators of the group modulo torsion |
j |
446806441984/19399325 |
j-invariant |
L |
11.573807651474 |
L(r)(E,1)/r! |
Ω |
0.3224710368604 |
Real period |
R |
5.9818331209254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11660b1 |
Quadratic twists by: -11 |