Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bv |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2049062400 = -1 · 29 · 33 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,160,2088] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:42:1] |
Generators of the group modulo torsion |
j |
879217912/4002075 |
j-invariant |
L |
7.6076738060627 |
L(r)(E,1)/r! |
Ω |
1.0542022538188 |
Real period |
R |
0.60137683720113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bi2 73920ey2 110880bm2 |
Quadratic twists by: -4 8 -3 |