Atkin-Lehner |
2+ 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318f |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
36480982450176 = 226 · 32 · 11 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8594,-101580] |
[a1,a2,a3,a4,a6] |
j |
70208342162938153/36480982450176 |
j-invariant |
L |
1.0497570358356 |
L(r)(E,1)/r! |
Ω |
0.52487851791778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954x1 |
Quadratic twists by: -3 |