Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320h |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1568160000 = 28 · 34 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3300,74052] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:350:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
2.4221242269691 |
L(r)(E,1)/r! |
Ω |
1.4782549451959 |
Real period |
R |
1.6385023671597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2640m2 10560t2 3960e2 6600i2 |
Quadratic twists by: -4 8 -3 5 |