Atkin-Lehner |
2+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17480b |
Isogeny class |
Conductor |
17480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-21267916000000 = -1 · 28 · 56 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21940,-1277712] |
[a1,a2,a3,a4,a6] |
j |
-4562610662122576/83077796875 |
j-invariant |
L |
2.3510989489173 |
L(r)(E,1)/r! |
Ω |
0.19592491240978 |
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 |
34960b2 87400m2 |
Quadratic twists by: -4 5 |