Atkin-Lehner |
2- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
6640h |
Isogeny class |
Conductor |
6640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-33200 = -1 · 24 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3 5- -3 5 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,-1] |
[a1,a2,a3,a4,a6] |
j |
3538944/2075 |
j-invariant |
L |
4.3392695048748 |
L(r)(E,1)/r! |
Ω |
2.1696347524374 |
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 |
1660c1 26560o1 59760bc1 33200bc1 |
Quadratic twists by: -4 8 -3 5 |