Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160a |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26784000000 = 211 · 33 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3843,91358] |
[a1,a2,a3,a4,a6] |
Generators |
[38:14:1] |
Generators of the group modulo torsion |
j |
113511836214/484375 |
j-invariant |
L |
3.6042175703057 |
L(r)(E,1)/r! |
Ω |
1.1932470247938 |
Real period |
R |
3.0205125136838 |
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 |
22320b2 89280t2 11160k2 55800bf2 |
Quadratic twists by: -4 8 -3 5 |