Atkin-Lehner |
2- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330be |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
-44330618750000000 = -1 · 27 · 511 · 113 · 732 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,65970,7778827] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-3689:1] |
Generators of the group modulo torsion |
j |
23855289832855909/33306250000000 |
j-invariant |
L |
9.4426385771266 |
L(r)(E,1)/r! |
Ω |
0.24337676249538 |
Real period |
R |
0.12596895921779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330l1 |
Quadratic twists by: -11 |