Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320i |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-990000 = -1 · 24 · 32 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
103737344/61875 |
j-invariant |
L |
2.2914023029425 |
L(r)(E,1)/r! |
Ω |
1.698450073414 |
Real period |
R |
1.3491137236296 |
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 |
2640n1 10560x1 3960f1 6600l1 |
Quadratic twists by: -4 8 -3 5 |