Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672z |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-78984551333888 = -1 · 221 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 0 -4 2 4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5452,454800] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3648:1] |
Generators of the group modulo torsion |
j |
-68367756969/301302152 |
j-invariant |
L |
3.5656200914297 |
L(r)(E,1)/r! |
Ω |
0.5309537906724 |
Real period |
R |
0.83943747885155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672d2 5168d2 |
Quadratic twists by: -4 8 |