Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600u |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44652000000 = -1 · 28 · 3 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,10212] |
[a1,a2,a3,a4,a6] |
Generators |
[2:100:1] |
Generators of the group modulo torsion |
j |
-35152/11163 |
j-invariant |
L |
4.5632842672911 |
L(r)(E,1)/r! |
Ω |
0.92514252091114 |
Real period |
R |
1.2331300756763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200w2 109800r2 1464c2 |
Quadratic twists by: -4 -3 5 |