Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660j |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-13706718750000 = -1 · 24 · 35 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 6 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4079,145870] |
[a1,a2,a3,a4,a6] |
Generators |
[1778:75000:1] |
Generators of the group modulo torsion |
j |
1299125682176/2373046875 |
j-invariant |
L |
3.3779802007232 |
L(r)(E,1)/r! |
Ω |
0.48526924375617 |
Real period |
R |
3.4805216322554 |
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 |
86640dt1 64980bu1 108300cj1 21660u1 |
Quadratic twists by: -4 -3 5 -19 |