Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1320b |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224885760 = 210 · 3 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360,2652] |
[a1,a2,a3,a4,a6] |
Generators |
[17:34:1] |
Generators of the group modulo torsion |
j |
5052857764/219615 |
j-invariant |
L |
2.4245550258402 |
L(r)(E,1)/r! |
Ω |
1.750477441157 |
Real period |
R |
2.7701642635711 |
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 |
2640k3 10560p3 3960n3 6600bc3 |
Quadratic twists by: -4 8 -3 5 |