Atkin-Lehner |
2- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928j |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-1027704832 = -1 · 211 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11+ 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,1548] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1260:1] |
Generators of the group modulo torsion |
j |
-98/209 |
j-invariant |
L |
13.240187550617 |
L(r)(E,1)/r! |
Ω |
1.2530596293379 |
Real period |
R |
3.522095633741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928p1 |
Quadratic twists by: -7 |