Atkin-Lehner |
2- 3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cd |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-154726832812500 = -1 · 22 · 311 · 58 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13638,851031] |
[a1,a2,a3,a4,a6] |
j |
-718154235265/396100692 |
j-invariant |
L |
3.2150709823864 |
L(r)(E,1)/r! |
Ω |
0.53584518210265 |
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 |
83850w1 |
Quadratic twists by: 5 |