Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27768n |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-7411446252288 = -1 · 28 · 35 · 132 · 893 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6585,241659] |
[a1,a2,a3,a4,a6] |
Generators |
[369:6942:1] |
Generators of the group modulo torsion |
j |
-123372122131456/28950961923 |
j-invariant |
L |
4.6972253889605 |
L(r)(E,1)/r! |
Ω |
0.70902689144764 |
Real period |
R |
0.11041483864761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536f1 83304k1 |
Quadratic twists by: -4 -3 |