Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bx |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-170015956992 = -1 · 213 · 36 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3099,-69302] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/56938 |
j-invariant |
L |
3.8277309138948 |
L(r)(E,1)/r! |
Ω |
0.31897757722291 |
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 |
10458u1 9296c1 |
Quadratic twists by: -4 -3 |