Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bh |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7761600000000 = 212 · 32 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26705,1683297] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1500:1] |
Generators of the group modulo torsion |
j |
514230431000896/1894921875 |
j-invariant |
L |
4.581120233452 |
L(r)(E,1)/r! |
Ω |
0.7436553421206 |
Real period |
R |
0.77003417678486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960ba3 73920ci1 110880bc3 |
Quadratic twists by: -4 8 -3 |