Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824p |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6408235241655238656 = -1 · 245 · 32 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38232,121841136] |
[a1,a2,a3,a4,a6] |
j |
-1508885121286873/1564510557044736 |
j-invariant |
L |
1.5356077589499 |
L(r)(E,1)/r! |
Ω |
0.19195096986873 |
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 |
2478c2 79296ce2 59472bg2 |
Quadratic twists by: -4 8 -3 |