Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21780s |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-51142131572400 = -1 · 24 · 38 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,344729] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:605:1] |
Generators of the group modulo torsion |
j |
-16384/2475 |
j-invariant |
L |
5.9044127376518 |
L(r)(E,1)/r! |
Ω |
0.51772177732831 |
Real period |
R |
0.47519190456257 |
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 |
87120fm1 7260a1 108900bq1 1980c1 |
Quadratic twists by: -4 -3 5 -11 |