Atkin-Lehner |
2+ 3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728a |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
468480 |
Modular degree for the optimal curve |
Δ |
4988041878276096 = 211 · 3 · 175 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55944,3812496] |
[a1,a2,a3,a4,a6] |
Generators |
[200:764:1] |
Generators of the group modulo torsion |
j |
9455011654797074/2435567323377 |
j-invariant |
L |
6.8945057057942 |
L(r)(E,1)/r! |
Ω |
0.40428336577736 |
Real period |
R |
4.2634116861378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33864f1 |
Quadratic twists by: -4 |