Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800h |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
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 |
2.7334567576858 |
L(r)(E,1)/r! |
Ω |
0.6833641893991 |
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 |
40800bt2 81600du2 122400cw2 1632i2 |
Quadratic twists by: -4 8 -3 5 |