Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660u |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1436400 |
Modular degree for the optimal curve |
Δ |
-6.4484465921297E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 6 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1472399,-1009356976] |
[a1,a2,a3,a4,a6] |
Generators |
[599:9375:1] |
Generators of the group modulo torsion |
j |
1299125682176/2373046875 |
j-invariant |
L |
5.099836450391 |
L(r)(E,1)/r! |
Ω |
0.084839846947697 |
Real period |
R |
2.0037111624113 |
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 |
86640bv1 64980bg1 108300l1 21660j1 |
Quadratic twists by: -4 -3 5 -19 |