Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496v |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
542976 |
Modular degree for the optimal curve |
Δ |
-693263992078896 = -1 · 24 · 3 · 79 · 713 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58767,5608266] |
[a1,a2,a3,a4,a6] |
j |
-34763966464/1073733 |
j-invariant |
L |
2.0279740345878 |
L(r)(E,1)/r! |
Ω |
0.50699352248925 |
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 |
83496m1 |
Quadratic twists by: -7 |