Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8300a |
Isogeny class |
Conductor |
8300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 5 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,4688] |
[a1,a2,a3,a4,a6] |
j |
-67108864/2075 |
j-invariant |
L |
3.2848958277856 |
L(r)(E,1)/r! |
Ω |
1.6424479138928 |
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 |
33200bf1 74700n1 1660b1 |
Quadratic twists by: -4 -3 5 |