Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1320d |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
183675444480 = 28 · 34 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1716,17424] |
[a1,a2,a3,a4,a6] |
Generators |
[0:132:1] |
Generators of the group modulo torsion |
j |
2184181167184/717482205 |
j-invariant |
L |
2.8523313493604 |
L(r)(E,1)/r! |
Ω |
0.93275312962565 |
Real period |
R |
0.25483085670135 |
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 |
2640a2 10560j2 3960q2 6600w2 |
Quadratic twists by: -4 8 -3 5 |