Atkin-Lehner |
3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
6489c |
Isogeny class |
Conductor |
6489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-79505194167 = -1 · 38 · 76 · 103 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-855,16848] |
[a1,a2,a3,a4,a6] |
Generators |
[-2880:20772:125] |
Generators of the group modulo torsion |
j |
-94881210481/109060623 |
j-invariant |
L |
5.9241799783936 |
L(r)(E,1)/r! |
Ω |
0.98298316814307 |
Real period |
R |
6.0267359303668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824ch1 2163a1 45423i1 |
Quadratic twists by: -4 -3 -7 |