Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560s |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1165233600000000 = -1 · 212 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17172,1856736] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1000:1] |
Generators of the group modulo torsion |
j |
-6946005312/14453125 |
j-invariant |
L |
7.8434708500854 |
L(r)(E,1)/r! |
Ω |
0.4336244817366 |
Real period |
R |
1.1305102661619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560t2 53280w1 106560g2 |
Quadratic twists by: -4 8 -3 |