Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bt |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15169032000000 = -1 · 29 · 38 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11208,-497412] |
[a1,a2,a3,a4,a6] |
j |
-19465109000/1896129 |
j-invariant |
L |
1.8457777167719 |
L(r)(E,1)/r! |
Ω |
0.23072221459601 |
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 |
40800h2 81600bd2 122400v2 1632a2 |
Quadratic twists by: -4 8 -3 5 |