Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bd |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1609740894404160 = 26 · 38 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46755,3390421] |
[a1,a2,a3,a4,a6] |
Generators |
[311:4187:1] |
Generators of the group modulo torsion |
j |
384240583/54720 |
j-invariant |
L |
4.309926587892 |
L(r)(E,1)/r! |
Ω |
0.45588691244876 |
Real period |
R |
4.7269689812284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930co1 83790cl1 |
Quadratic twists by: -3 -7 |