Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bm |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-144041768640000 = -1 · 29 · 312 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2960,573112] |
[a1,a2,a3,a4,a6] |
j |
5599924283512/281331579375 |
j-invariant |
L |
1.7633212457121 |
L(r)(E,1)/r! |
Ω |
0.44083031143964 |
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 |
36960bt2 73920gy3 110880bl2 |
Quadratic twists by: -4 8 -3 |