Atkin-Lehner |
2+ 3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650n |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-77185843200000000 = -1 · 221 · 32 · 58 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121450,-21123500] |
[a1,a2,a3,a4,a6] |
j |
-507179652984265/197595758592 |
j-invariant |
L |
1.5053987874354 |
L(r)(E,1)/r! |
Ω |
0.12544990225097 |
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 |
82650cq1 |
Quadratic twists by: 5 |