Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bq |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32440320 = 216 · 32 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42241,3355681] |
[a1,a2,a3,a4,a6] |
Generators |
[120:19:1] |
Generators of the group modulo torsion |
j |
127191074376964/495 |
j-invariant |
L |
2.7990408118784 |
L(r)(E,1)/r! |
Ω |
1.3924543307278 |
Real period |
R |
2.0101490943803 |
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 |
10560r3 2640l3 31680dr4 52800he4 |
Quadratic twists by: -4 8 -3 5 |