Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800dt |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
259706250000 = 24 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1958,21963] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:225:1] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
5.9300989351951 |
L(r)(E,1)/r! |
Ω |
0.90920077467886 |
Real period |
R |
0.31058669486997 |
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 |
5700i1 91200gx1 68400gm1 22800cg1 |
Quadratic twists by: -4 8 -3 5 |