Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960be |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1445818429440 = 212 · 35 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5761,159985] |
[a1,a2,a3,a4,a6] |
Generators |
[24:187:1] |
Generators of the group modulo torsion |
j |
5163364362304/352983015 |
j-invariant |
L |
4.736573378229 |
L(r)(E,1)/r! |
Ω |
0.83538172200244 |
Real period |
R |
2.8349754689843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960s2 73920dd1 110880bt2 |
Quadratic twists by: -4 8 -3 |