Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660v |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
5263380000000 = 28 · 36 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140701,20266799] |
[a1,a2,a3,a4,a6] |
j |
3333275297603584/56953125 |
j-invariant |
L |
4.2100309298573 |
L(r)(E,1)/r! |
Ω |
0.70167182164289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640cb1 64980bl1 108300t1 21660a1 |
Quadratic twists by: -4 -3 5 -19 |