Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320h |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-618750000 = -1 · 24 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-175,1552] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:45:1] |
Generators of the group modulo torsion |
j |
-37256083456/38671875 |
j-invariant |
L |
2.4221242269691 |
L(r)(E,1)/r! |
Ω |
1.4782549451959 |
Real period |
R |
0.81925118357984 |
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 |
2640m1 10560t1 3960e1 6600i1 |
Quadratic twists by: -4 8 -3 5 |