Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bw |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
894136320 = 212 · 34 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14385,659295] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1140:1] |
Generators of the group modulo torsion |
j |
80375475140416/218295 |
j-invariant |
L |
8.3283432769273 |
L(r)(E,1)/r! |
Ω |
1.3684770956637 |
Real period |
R |
3.0429238835332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960bj4 73920fb1 110880bp4 |
Quadratic twists by: -4 8 -3 |