Atkin-Lehner |
2+ 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726h |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-75634568328744 = -1 · 23 · 313 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 5 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4635,-401571] |
[a1,a2,a3,a4,a6] |
j |
15104024886959/103751122536 |
j-invariant |
L |
1.2207766390656 |
L(r)(E,1)/r! |
Ω |
0.30519415976639 |
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 |
7242l1 |
Quadratic twists by: -3 |