Atkin-Lehner |
2- 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bk |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
1.0044544411238E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7812020,-8390943600] |
[a1,a2,a3,a4,a6] |
j |
52724656019007732126991681/100445444112384000000 |
j-invariant |
L |
4.3351053644153 |
L(r)(E,1)/r! |
Ω |
0.090314695091985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
64890y1 108150f1 |
Quadratic twists by: -3 5 |