Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496r |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
692160 |
Modular degree for the optimal curve |
Δ |
-14462295915239424 = -1 · 211 · 35 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-478256,127275168] |
[a1,a2,a3,a4,a6] |
j |
-1024687950818/1224963 |
j-invariant |
L |
3.9402169837881 |
L(r)(E,1)/r! |
Ω |
0.39402169882293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83496o1 |
Quadratic twists by: -7 |