Atkin-Lehner |
2- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28952d |
Isogeny class |
Conductor |
28952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-36881605376 = -1 · 28 · 72 · 113 · 472 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13945,638573] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1034:1] [79:154:1] |
Generators of the group modulo torsion |
j |
-1171575943760896/144068771 |
j-invariant |
L |
7.1528879764344 |
L(r)(E,1)/r! |
Ω |
1.1125463099092 |
Real period |
R |
0.26788727477101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57904d1 |
Quadratic twists by: -4 |