Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440b |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4464000000 = 210 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,-3360] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
16662038116/4359375 |
j-invariant |
L |
3.5660909216674 |
L(r)(E,1)/r! |
Ω |
1.0113308161876 |
Real period |
R |
1.7630684562301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720d2 29760cu2 22320p2 37200r2 |
Quadratic twists by: -4 8 -3 5 |