Atkin-Lehner |
2- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350z |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-1027000 = -1 · 23 · 53 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 2 3 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[29:130:1] |
Generators of the group modulo torsion |
j |
-537367797/8216 |
j-invariant |
L |
10.669005378244 |
L(r)(E,1)/r! |
Ω |
0.7861766248682 |
Real period |
R |
2.2617914432855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350l1 |
Quadratic twists by: 5 |