Atkin-Lehner |
2+ 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318f |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2420824022065152 = -1 · 213 · 34 · 112 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,32366,-748748] |
[a1,a2,a3,a4,a6] |
j |
3749469587722594007/2420824022065152 |
j-invariant |
L |
1.0497570358356 |
L(r)(E,1)/r! |
Ω |
0.26243925895889 |
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 |
63954x2 |
Quadratic twists by: -3 |