Atkin-Lehner |
2+ 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536f |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
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 |
[788:21983:1] |
Generators of the group modulo torsion |
j |
-123372122131456/28950961923 |
j-invariant |
L |
3.8533298207833 |
L(r)(E,1)/r! |
Ω |
0.26173244525903 |
Real period |
R |
2.4537333770434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768n1 |
Quadratic twists by: -4 |