Atkin-Lehner |
2- 5- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11890f |
Isogeny class |
Conductor |
11890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-380480000 = -1 · 29 · 54 · 29 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-390,2947] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-49:1] |
Generators of the group modulo torsion |
j |
-6561258219361/380480000 |
j-invariant |
L |
6.2790244175725 |
L(r)(E,1)/r! |
Ω |
1.6694662255906 |
Real period |
R |
0.10447491674824 |
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 |
95120m1 107010d1 59450e1 |
Quadratic twists by: -4 -3 5 |